
## size 24
TWOCOCYCLES[24] := rec( implemented := 42, size := 24, quandle := [ ] );

TWOCOCYCLES[24].quandle[1] := rec(
  factors := [ ], generators := [  ]
);

TWOCOCYCLES[24].quandle[2] := rec(
  factors := [ ], generators := [  ]
);

TWOCOCYCLES[24].quandle[3] := rec(
  factors := [ 2, 2 ], generators := [ [ 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 
      0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 
      1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 
      0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 
      1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 
      1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 
      1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 
      0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 
      1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 
      1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 
      1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
      0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 
      0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 
      1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 
      0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0 ], 
  [ 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 
      1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 
      1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 
      1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 
      1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 
      1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 
      0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 
      0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 
      1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 
      1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 
      1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
      1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 
      1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 
      0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 
      1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0 ] ]
);

TWOCOCYCLES[24].quandle[4] := rec(
  factors := [ 2, 2 ], generators := [ [ 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 
      1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 
      1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 
      1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 
      0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 
      1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 
      0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 
      1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 
      0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 
      1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 
      0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 
      1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 
      1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 
      0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0 ], 
  [ 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 
      0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 
      0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 
      1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 
      1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 
      0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 
      0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 
      0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 
      1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 
      0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 
      0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 
      0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
      1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 
      0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
      1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0 ] ]
);

TWOCOCYCLES[24].quandle[5] := rec(
  factors := [ 2, 2, 2 ], generators := [ [ 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 
      0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 
      0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 
      1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 
      1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 
      0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 
      1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 
      0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 
      0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 
      1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 
      1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 
      1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 
      0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 
      0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 
      1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0 ], 
  [ 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 
      1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 
      0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 
      0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 
      0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 
      0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 
      1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 
      1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 
      0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 
      0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 
      1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 
      0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 
      1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 
      0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 
      0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0 ], 
  [ 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 
      0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 
      0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 
      0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 
      1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 
      0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 
      0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 
      1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 
      0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 
      1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 
      1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 
      0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 
      1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
      1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 
      1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0 ] ]
);

TWOCOCYCLES[24].quandle[6] := rec(
  factors := [ 2, 2, 4 ], generators := [ [ 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 
      1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 
      0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 
      0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 
      0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
      0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
      0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 
      0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 
      0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 
      1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 
      1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 
      0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 
      0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 
      1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0 ], 
  [ 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 
      1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 
      0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 
      0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 
      1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 
      0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 
      1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 
      0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 
      0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 
      1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 
      0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 
      1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 
      1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 
      0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 
      0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0 ], 
  [ 0, 1, 2, 3, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 3, 2, 1, 1, 1, 3, 
      2, 0, 1, 0, 1, 0, 0, 1, 2, 3, 2, 3, 1, 3, 0, 2, 0, 0, 3, 0, 1, 3, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 3, 3, 1, 2, 3, 3, 3, 1, 1, 0, 
      2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 3, 0, 1, 1, 3, 1, 1, 3, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 
      0, 1, 2, 3, 2, 3, 1, 3, 0, 2, 0, 0, 3, 0, 1, 3, 1, 1, 0, 0, 0, 1, 2, 3, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 3, 2, 1, 1, 1, 3, 2, 0, 
      0, 1, 1, 0, 1, 0, 0, 1, 1, 3, 0, 1, 1, 3, 1, 1, 3, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 3, 3, 
      1, 2, 3, 3, 3, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 3, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 3, 0, 3, 0, 1, 
      3, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 3, 0, 3, 1, 0, 0, 1, 0, 3, 0, 1, 0, 2, 2, 3, 0, 1, 1, 0, 1, 0, 
      1, 1, 1, 2, 0, 1, 3, 0, 3, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 3, 0, 1, 3, 1, 1, 0, 2, 1, 1, 0, 1, 3, 0, 3, 0, 1, 3, 0, 1, 0, 0, 1, 
      0, 1, 1, 0, 0, 0, 2, 3, 0, 3, 1, 0, 1, 1, 1, 0, 1, 2, 2, 3, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 
      1, 2, 3, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 3, 0, 1, 3, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 3, 0, 1, 0, 2, 2, 3, 0, 1, 1, 0, 1, 0, 1, 1, 
      1, 2, 0, 1, 3, 0, 3, 1, 1, 3, 2, 2, 0, 0, 1, 3, 2, 2, 0, 0, 3, 1, 0, 1, 2, 3, 1, 0, 1, 0, 0, 2, 0, 2, 
      1, 1, 3, 3, 0, 2, 1, 1, 3, 3, 0, 2, 1, 0, 1, 0, 0, 1, 2, 3, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 
      1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 3, 0, 1, 0, 2, 0, 2, 1, 1, 3, 3, 0, 2, 
      1, 1, 3, 3, 0, 2, 1, 0, 1, 0, 0, 1, 2, 3, 3, 1, 1, 3, 2, 2, 0, 0, 1, 3, 2, 2, 0, 0, 3, 1, 0, 1, 2, 3, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 
      1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 3, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0 ] ]
);

TWOCOCYCLES[24].quandle[7] := rec(
  factors := [ 5 ], generators := [ [ 0, 3, 4, 1, 3, 1, 3, 1, 4, 0, 2, 4, 0, 2, 0, 0, 4, 4, 2, 0, 1, 4, 1, 3, 2, 0, 2, 3, 0, 1, 1, 4, 3, 
      1, 0, 2, 4, 0, 1, 4, 4, 1, 2, 2, 4, 1, 2, 3, 2, 3, 0, 2, 4, 2, 3, 3, 0, 1, 1, 3, 1, 2, 3, 4, 4, 0, 0, 2, 
      0, 1, 0, 1, 0, 4, 2, 0, 2, 4, 4, 3, 0, 4, 1, 0, 4, 1, 3, 1, 1, 1, 2, 0, 4, 4, 4, 3, 2, 0, 2, 3, 0, 1, 1, 4, 3, 1, 0, 2, 4, 0, 1, 
      4, 4, 1, 2, 2, 4, 1, 2, 3, 1, 4, 2, 4, 2, 0, 1, 0, 3, 0, 3, 1, 4, 3, 2, 1, 2, 2, 0, 2, 0, 3, 1, 1, 1, 1, 
      1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 4, 2, 0, 4, 1, 3, 3, 1, 4, 0, 4, 1, 1, 2, 1, 2, 
      3, 4, 3, 0, 4, 2, 0, 2, 4, 4, 3, 0, 4, 1, 0, 4, 1, 3, 1, 1, 1, 2, 0, 4, 4, 4, 3, 3, 1, 2, 2, 1, 1, 4, 3, 
      4, 0, 2, 4, 4, 0, 4, 3, 2, 0, 0, 0, 2, 0, 4, 1, 3, 4, 1, 0, 1, 4, 0, 4, 1, 2, 0, 1, 1, 3, 2, 3, 3, 4, 2, 4, 0, 0, 1, 3, 1, 1, 1, 
      1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 0, 0, 3, 2, 3, 0, 1, 3, 2, 2, 0, 0, 2, 
      1, 3, 1, 4, 0, 0, 4, 4, 2, 1, 2, 3, 2, 1, 3, 4, 2, 4, 1, 2, 4, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 3, 1, 1, 1, 1, 0, 2, 0, 4, 2, 0, 4, 
      1, 3, 3, 1, 4, 0, 4, 1, 1, 2, 1, 2, 3, 4, 3, 0, 3, 4, 1, 3, 1, 3, 1, 4, 0, 2, 4, 0, 2, 0, 0, 4, 4, 2, 0, 
      1, 4, 1, 3, 2, 3, 2, 1, 3, 4, 2, 4, 1, 2, 4, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 3, 1, 1, 3, 1, 2, 2, 1, 1, 4, 3, 4, 0, 2, 4, 4, 0, 4, 
      3, 2, 0, 0, 0, 2, 0, 4, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 
      0, 3, 2, 3, 0, 1, 3, 2, 2, 0, 0, 2, 1, 3, 1, 4, 0, 0, 4, 4, 2, 1, 1, 4, 2, 4, 2, 0, 1, 0, 3, 0, 3, 1, 4, 3, 2, 1, 2, 2, 0, 2, 0, 
      3, 1, 1, 3, 4, 1, 0, 1, 4, 0, 4, 1, 2, 0, 1, 1, 3, 2, 3, 3, 4, 2, 4, 0, 0, 1, 3, 2, 3, 0, 2, 4, 2, 3, 3, 
      0, 1, 1, 3, 1, 2, 3, 4, 4, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]
);

TWOCOCYCLES[24].quandle[8] := rec(
  factors := [ ], generators := [  ]
);

TWOCOCYCLES[24].quandle[9] := rec(
  factors := [ 14 ], generators := [ [ 0, 3, 13, 12, 5, 2, 3, 6, 4, 11, 11, 1, 11, 8, 9, 3, 10, 12, 6, 13, 8, 2, 5, 0, 12, 0, 2, 8, 9, 5, 
      12, 12, 4, 10, 0, 8, 9, 7, 13, 3, 5, 3, 7, 9, 10, 11, 5, 8, 6, 12, 0, 9, 3, 6, 8, 7, 4, 13, 3, 4, 5, 7, 12, 2, 
      3, 8, 11, 8, 1, 10, 5, 11, 7, 0, 3, 0, 10, 13, 10, 9, 5, 9, 7, 4, 12, 3, 10, 5, 9, 8, 12, 13, 8, 8, 13, 8, 7, 7, 4, 1, 0, 8, 4, 12, 
      3, 6, 2, 3, 11, 5, 9, 10, 1, 4, 8, 13, 8, 12, 9, 11, 8, 8, 8, 8, 8, 0, 10, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 
      8, 8, 8, 8, 8, 8, 10, 10, 10, 10, 10, 8, 0, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 11, 2, 5, 5, 0, 0, 7, 
      0, 12, 13, 12, 13, 9, 3, 6, 11, 1, 8, 13, 6, 10, 3, 8, 0, 12, 5, 3, 2, 4, 10, 0, 13, 0, 7, 10, 1, 8, 9, 11, 12, 8, 
      3, 13, 6, 4, 7, 13, 11, 6, 8, 1, 11, 13, 4, 13, 9, 5, 0, 3, 10, 6, 5, 9, 2, 8, 8, 13, 11, 12, 3, 12, 0, 9, 8, 10, 9, 5, 11, 0, 7, 
      8, 13, 0, 3, 10, 0, 9, 7, 4, 10, 12, 12, 9, 5, 3, 8, 13, 10, 3, 5, 4, 4, 12, 6, 8, 8, 9, 0, 12, 12, 7, 5, 4, 1, 1, 
      11, 3, 2, 7, 11, 6, 11, 12, 3, 8, 10, 1, 13, 10, 3, 8, 6, 0, 3, 11, 5, 5, 1, 6, 9, 13, 12, 2, 0, 10, 7, 9, 5, 4, 3, 2, 12, 3, 9, 
      8, 4, 13, 0, 12, 0, 8, 10, 9, 7, 5, 3, 7, 8, 13, 3, 10, 8, 12, 12, 11, 11, 8, 6, 5, 5, 6, 2, 0, 12, 13, 10, 9, 1, 1, 
      11, 3, 0, 13, 5, 5, 3, 8, 9, 4, 9, 12, 12, 5, 10, 9, 8, 7, 0, 3, 9, 10, 12, 4, 7, 0, 8, 8, 2, 4, 7, 8, 2, 2, 13, 1, 11, 5, 3, 
      7, 10, 6, 9, 0, 3, 12, 11, 4, 7, 12, 11, 3, 9, 1, 10, 3, 12, 10, 11, 4, 12, 12, 8, 13, 11, 8, 7, 4, 0, 6, 7, 3, 5, 2, 11, 
      5, 12, 8, 2, 10, 8, 5, 6, 1, 9, 3, 12, 11, 11, 13, 8, 2, 13, 0, 6, 5, 5, 3, 0, 9, 5, 10, 3, 1, 6, 9, 7, 13, 6, 2, 8, 13, 
      12, 6, 3, 12, 5, 11, 0, 12, 8, 11, 0, 11, 9, 8, 12, 1, 0, 6, 8, 3, 7, 7, 4, 6, 2, 13, 5, 3, 4, 7, 12, 0, 9, 10, 11, 12, 7, 
      8, 0, 0, 7, 8, 13, 9, 12, 3, 5, 7, 5, 9, 1, 10, 4, 9, 10, 3, 0, 8, 8, 9, 3, 4, 7, 3, 1, 6, 10, 10, 7, 5, 9, 12, 3, 12, 
      8, 6, 5, 13, 9, 8, 0, 0, 8, 0, 0, 0, 0, 0, 10, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]
);

TWOCOCYCLES[24].quandle[10] := rec(
  factors := [ 2, 4 ], generators := [ [ 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 
      0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 
      0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 
      1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 
      0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 
      0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 
      1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 
      0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 
      1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 
      1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 
      1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 
      0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 
      1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 
      1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 
      1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0 ], 
  [ 0, 2, 1, 3, 3, 1, 1, 3, 2, 3, 2, 0, 3, 2, 1, 1, 3, 3, 0, 3, 2, 0, 3, 0, 2, 0, 1, 3, 1, 3, 1, 3, 
      3, 2, 2, 0, 2, 3, 1, 1, 3, 3, 0, 3, 0, 2, 3, 0, 1, 1, 0, 2, 1, 1, 3, 1, 3, 3, 2, 1, 1, 1, 3, 0, 3, 3, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 
      1, 1, 1, 3, 1, 1, 1, 2, 3, 3, 2, 1, 1, 1, 0, 1, 3, 3, 2, 3, 1, 3, 0, 2, 0, 2, 2, 0, 3, 0, 1, 3, 0, 3, 
      0, 0, 2, 2, 1, 0, 3, 1, 0, 1, 3, 1, 0, 2, 2, 0, 2, 0, 0, 3, 1, 3, 3, 0, 0, 0, 2, 2, 1, 0, 1, 3, 0, 1, 2, 2, 3, 1, 2, 2, 0, 2, 0, 0, 
      2, 3, 2, 2, 3, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 3, 2, 2, 2, 0, 2, 2, 3, 2, 0, 0, 0, 1, 0, 0, 1, 2, 
      2, 2, 3, 0, 2, 3, 1, 3, 0, 3, 0, 0, 0, 2, 0, 2, 3, 1, 0, 2, 1, 3, 0, 1, 2, 2, 2, 1, 3, 2, 1, 3, 3, 0, 0, 0, 2, 0, 0, 2, 1, 3, 0, 2, 
      3, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 3, 3, 2, 3, 1, 1, 0, 2, 1, 1, 1, 3, 1, 1, 1, 0, 3, 3, 2, 1, 3, 3, 
      1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 3, 1, 3, 3, 1, 0, 1, 1, 0, 3, 2, 1, 2, 0, 2, 3, 1, 1, 1, 3, 1, 3, 0, 2, 3, 1, 2, 0, 3, 0, 3, 3, 
      1, 0, 1, 2, 2, 0, 3, 2, 1, 1, 3, 1, 1, 3, 2, 0, 3, 1, 0, 2, 3, 0, 3, 3, 1, 0, 0, 0, 3, 2, 2, 2, 3, 0, 
      2, 2, 1, 3, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 3, 0, 0, 2, 1, 2, 2, 3, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 3, 2, 2, 2, 1, 1, 
      0, 2, 1, 3, 3, 1, 0, 0, 3, 3, 2, 0, 0, 2, 3, 1, 3, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 3, 1, 3, 0, 0, 3, 3, 
      2, 0, 2, 0, 3, 1, 1, 3, 2, 2, 1, 1, 3, 3, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 3, 0, 2, 3, 3, 2, 2, 3, 3, 1, 1, 3, 3, 3, 3, 1, 1, 
      3, 3, 1, 1, 3, 3, 3, 3, 2, 0, 3, 3, 0, 0, 3, 3, 0, 0, 1, 3, 0, 2, 0, 2, 1, 1, 2, 2, 3, 1, 1, 3, 1, 1, 
      0, 2, 0, 2, 3, 3, 0, 0, 3, 1, 0, 2, 2, 0, 1, 1, 2, 2, 3, 1, 3, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 
      0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0 ] ]
);

TWOCOCYCLES[24].quandle[11] := rec(
  factors := [ 2, 2 ], generators := 
[ [ 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 
      0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 
      1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 
      0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 
      0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 
      0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 
      1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 
      1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 
      1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 
      0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
      1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 
      1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 
      1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 
      0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 
      0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 
      1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 
      0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 
      0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 
      0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 
      1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 
      1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 
      0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 
      1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], 
  [ 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 
      1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 
      0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 
      1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 
      0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 
      1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 
      0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 
      0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 
      0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 
      1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 
      0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 
      0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 
      0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 
      0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 
      0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 
      1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 
      0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 
      0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
      0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 
      1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 
      0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 
      0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 
      0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 
      1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0 ] ]
);

TWOCOCYCLES[24].quandle[12] := rec(
  factors := [ 2, 2 ], generators := 
[ [ 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 
      1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 
      1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 
      1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 
      0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 
      1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 
      0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 
      0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 
      1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 
      0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 
      0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 
      1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 
      1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 
      0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 
      1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 
      0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 
      0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 
      1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 
      1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 
      1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 
      1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 
      0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 
      0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 
      1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0 ], 
  [ 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 
      0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 
      0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 
      0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 
      0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 
      1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 
      1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 
      1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 
      0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 
      0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 
      1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 
      0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 
      0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 
      0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 
      1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 
      1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 
      0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 
      0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 
      0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 
      1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 
      0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 
      0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 
      1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 
      1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]
);

TWOCOCYCLES[24].quandle[13] := rec(
  factors := [ 2, 2 ], generators := 
[ [ 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 
      1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 
      1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 
      0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 
      0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 
      1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 
      0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 
      1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 
      0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 
      0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 
      1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 
      0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 
      1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 
      0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 
      1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 
      1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 
      1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 
      0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 
      0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 
      1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 
      1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 
      1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
      0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 
      0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], 
  [ 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 
      0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 
      0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 
      0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 
      0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 
      0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 
      1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 
      0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 
      0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 
      0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 
      1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 
      0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 
      0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 
      0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 
      0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 
      0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 
      1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 
      1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 
      1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 
      0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 
      1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 
      1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 
      1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 
      1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0 ] ]
);

TWOCOCYCLES[24].quandle[14] := rec(
  factors := [ 8 ], generators := 
[ [ 0, 2, 2, 4, 5, 3, 7, 5, 1, 0, 0, 1, 1, 7, 5, 7, 7, 2, 6, 3, 0, 4, 6, 6, 
      2, 0, 4, 2, 3, 5, 5, 7, 4, 5, 5, 4, 5, 7, 1, 7, 3, 6, 2, 7, 0, 4, 6, 
      6, 6, 4, 0, 6, 7, 1, 1, 3, 0, 1, 1, 0, 1, 3, 5, 3, 7, 2, 6, 3, 4, 0, 
      2, 2, 4, 6, 6, 0, 1, 7, 3, 1, 5, 4, 4, 5, 5, 3, 1, 3, 3, 6, 2, 7, 4, 
      0, 2, 2, 3, 1, 1, 7, 0, 6, 6, 4, 5, 7, 5, 3, 0, 1, 5, 4, 3, 2, 2, 3, 
      4, 4, 6, 2, 1, 3, 7, 1, 6, 0, 4, 6, 5, 3, 5, 7, 1, 0, 4, 5, 7, 6, 6, 
      7, 4, 4, 6, 2, 5, 7, 3, 5, 2, 4, 0, 2, 1, 7, 1, 3, 5, 4, 0, 1, 3, 2, 
      2, 3, 0, 0, 2, 6, 7, 5, 5, 3, 4, 2, 2, 0, 1, 3, 1, 7, 4, 5, 1, 0, 7, 
      6, 6, 7, 0, 0, 2, 6, 7, 3, 5, 5, 5, 4, 4, 1, 0, 6, 6, 4, 7, 1, 1, 3, 
      2, 7, 3, 2, 0, 6, 0, 2, 7, 3, 1, 1, 4, 5, 1, 4, 2, 0, 4, 2, 5, 7, 3, 
      5, 2, 7, 3, 2, 4, 2, 4, 6, 3, 7, 5, 5, 0, 1, 5, 0, 6, 4, 0, 6, 1, 3, 
      7, 1, 6, 3, 7, 6, 0, 6, 0, 2, 3, 7, 1, 1, 1, 0, 0, 5, 4, 2, 2, 0, 3, 
      5, 5, 7, 6, 3, 7, 6, 4, 2, 4, 6, 5, 0, 4, 5, 1, 5, 7, 7, 1, 3, 7, 1, 
      0, 6, 6, 4, 2, 7, 7, 6, 0, 2, 4, 2, 0, 5, 5, 4, 1, 5, 3, 3, 3, 5, 5, 
      7, 2, 0, 4, 2, 2, 7, 7, 6, 4, 6, 0, 6, 4, 1, 1, 0, 5, 1, 7, 7, 7, 1, 
      1, 3, 6, 4, 0, 6, 6, 3, 3, 2, 0, 2, 4, 2, 1, 4, 0, 1, 5, 1, 3, 3, 5, 
      7, 3, 5, 4, 2, 2, 0, 6, 3, 3, 2, 4, 6, 0, 6, 5, 5, 1, 1, 5, 5, 1, 1, 
      3, 3, 3, 3, 7, 7, 7, 7, 0, 2, 2, 4, 3, 7, 7, 3, 3, 3, 3, 3, 7, 7, 7, 
      7, 5, 1, 5, 1, 1, 5, 1, 5, 2, 0, 4, 2, 7, 7, 7, 7, 7, 7, 7, 7, 3, 3, 
      3, 3, 1, 5, 1, 5, 5, 1, 5, 1, 6, 4, 0, 6, 3, 3, 3, 3, 1, 1, 5, 5, 1, 
      1, 5, 5, 7, 7, 7, 7, 3, 3, 3, 3, 4, 6, 6, 0, 7, 3, 3, 7, 4, 4, 4, 4, 
      4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 4, 4, 4, 0, 0, 4, 4, 2, 2, 6, 
      6, 6, 6, 2, 2, 2, 6, 2, 6, 2, 6, 2, 6, 6, 6, 2, 6, 4, 0, 4, 0, 6, 6, 
      2, 2, 2, 2, 6, 6, 6, 2, 6, 2, 6, 2, 6, 2, 2, 2, 6, 2, 0, 4, 0, 4, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 4, 4, 0, 0 ] ]
);

TWOCOCYCLES[24].quandle[15] := rec(
  factors := [ 4 ], generators := 
[ [ 0, 2, 2, 0, 3, 1, 1, 3, 0, 1, 3, 2, 3, 2, 2, 3, 2, 3, 3, 2, 3, 0, 2, 1, 
      2, 0, 0, 2, 1, 3, 3, 1, 3, 2, 0, 1, 2, 3, 3, 2, 2, 3, 3, 2, 3, 0, 2, 
      1, 2, 0, 0, 2, 1, 3, 3, 1, 3, 2, 0, 1, 2, 3, 3, 2, 2, 3, 3, 2, 3, 0, 
      2, 1, 0, 2, 2, 0, 3, 1, 1, 3, 0, 1, 3, 2, 3, 2, 2, 3, 2, 3, 3, 2, 3, 
      0, 2, 1, 1, 3, 3, 1, 0, 2, 2, 0, 3, 2, 2, 3, 1, 0, 2, 3, 2, 3, 3, 2, 
      3, 0, 2, 1, 3, 1, 1, 3, 2, 0, 0, 2, 2, 3, 3, 2, 2, 3, 1, 0, 2, 3, 3, 
      2, 3, 0, 2, 1, 3, 1, 1, 3, 2, 0, 0, 2, 2, 3, 3, 2, 2, 3, 1, 0, 2, 3, 
      3, 2, 3, 0, 2, 1, 1, 3, 3, 1, 0, 2, 2, 0, 3, 2, 2, 3, 1, 0, 2, 3, 2, 
      3, 3, 2, 3, 0, 2, 1, 2, 3, 3, 2, 3, 0, 2, 1, 0, 2, 2, 0, 1, 3, 3, 1, 
      3, 2, 2, 3, 3, 2, 0, 1, 3, 2, 2, 3, 0, 3, 1, 2, 2, 0, 0, 2, 3, 1, 1, 
      3, 3, 2, 2, 3, 3, 2, 0, 1, 3, 2, 2, 3, 0, 3, 1, 2, 2, 0, 0, 2, 3, 1, 
      1, 3, 3, 2, 2, 3, 3, 2, 0, 1, 2, 3, 3, 2, 3, 0, 2, 1, 0, 2, 2, 0, 1, 
      3, 3, 1, 3, 2, 2, 3, 3, 2, 0, 1, 3, 0, 2, 1, 3, 2, 2, 3, 3, 1, 1, 3, 
      0, 2, 2, 0, 3, 2, 2, 3, 3, 2, 0, 1, 0, 3, 1, 2, 2, 3, 3, 2, 1, 3, 3, 
      1, 2, 0, 0, 2, 3, 2, 2, 3, 3, 2, 0, 1, 0, 3, 1, 2, 2, 3, 3, 2, 1, 3, 
      3, 1, 2, 0, 0, 2, 3, 2, 2, 3, 3, 2, 0, 1, 3, 0, 2, 1, 3, 2, 2, 3, 3, 
      1, 1, 3, 0, 2, 2, 0, 3, 2, 2, 3, 3, 2, 0, 1, 3, 3, 3, 3, 3, 3, 3, 3, 
      1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 
      1, 3, 3, 3, 3, 3, 3, 3, 3, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 
      1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 2, 0, 0, 2, 2, 0, 0, 2, 3, 3, 3, 3, 3, 
      3, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 
      2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 
      2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]
);

TWOCOCYCLES[24].quandle[16] := rec(
  factors := [ 2, 2 ], generators := 
[ [ 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 
      1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 
      0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 
      1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 
      1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 
      1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 
      0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 
      0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 
      0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 
      0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 
      1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 
      0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 
      1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 
      0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 
      0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 
      0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 
      0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 
      1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 
      0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 
      1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 
      0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0 ], 
  [ 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 
      0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 
      1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 
      1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 
      0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 
      0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 
      1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 
      1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 
      0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 
      1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 
      1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 
      1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 
      1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 
      0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 
      1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 
      1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 
      1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
      1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 
      1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 
      1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 
      1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0 ] ]
);

TWOCOCYCLES[24].quandle[17] := rec(
  factors := [ 2, 2 ], generators := 
[ [ 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 
      1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 
      0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 
      0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 
      0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 
      1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 
      0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 
      0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 
      0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 
      1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 
      0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 
      0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 
      0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 
      0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 
      0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 
      0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 
      0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
      1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
      1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], 
  [ 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 
      0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 
      0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 
      0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 
      0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 
      0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 
      0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 
      1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 
      1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 
      1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 
      1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 
      0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 
      1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 
      0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 
      1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 
      0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 
      1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
      1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
      1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]
);

TWOCOCYCLES[24].quandle[18] := rec(
  factors := [ 2, 2 ], generators := 
[ [ 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 
      0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 
      0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 
      0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 
      1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 
      1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 
      0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 
      0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 
      0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 
      0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 
      0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 
      0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 
      0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 
      0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 
      0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 
      0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 
      0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 
      0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 
      0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 
      0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 
      1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 
      1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 
      1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0 ], 
  [ 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 
      0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 
      0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 
      0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 
      1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 
      1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 
      1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 
      0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 
      0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 
      0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 
      1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 
      0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 
      1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 
      0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 
      0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 
      1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 
      0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 
      1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 
      0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 
      1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 
      0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0 ] ]
);

TWOCOCYCLES[24].quandle[19] := rec(
  factors := [ 2, 4 ], generators := [ [ 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 
      0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 
      0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 
      0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 
      1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 
      1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 
      1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 
      1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 
      0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 
      1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 
      1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 
      0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 
      1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0 ], 
  [ 0, 1, 0, 1, 3, 2, 1, 0, 1, 3, 0, 1, 3, 3, 3, 1, 3, 1, 3, 0, 3, 1, 3, 3, 1, 0, 1, 0, 0, 1, 2, 3, 0, 
      3, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 3, 2, 1, 0, 1, 3, 0, 1, 3, 3, 3, 1, 3, 1, 3, 0, 3, 1, 3, 3, 1, 0, 1, 0, 0, 
      1, 2, 3, 0, 3, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 3, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 3, 
      2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 3, 0, 1, 1, 0, 1, 0, 3, 3, 1, 3, 3, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 3, 1, 0, 3, 2, 0, 1, 0, 1, 0, 2, 0, 
      0, 0, 0, 3, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 3, 0, 1, 1, 0, 1, 0, 3, 3, 1, 3, 3, 0, 1, 1, 1, 1, 1, 0, 1, 
      1, 1, 3, 1, 0, 3, 0, 2, 0, 2, 3, 0, 1, 0, 1, 1, 0, 3, 2, 2, 1, 0, 2, 3, 0, 3, 2, 3, 2, 3, 0, 0, 3, 1, 3, 1, 0, 1, 0, 2, 3, 0, 1, 1, 
      0, 3, 1, 0, 1, 0, 3, 1, 0, 3, 0, 2, 0, 2, 3, 0, 1, 0, 1, 1, 0, 3, 2, 2, 1, 0, 2, 3, 0, 3, 2, 3, 2, 3, 
      0, 0, 3, 1, 3, 1, 0, 1, 0, 2, 3, 0, 1, 1, 0, 3, 1, 0, 1, 0, 3, 1, 0, 1, 1, 0, 3, 2, 3, 1, 0, 3, 2, 0, 1, 0, 1, 3, 0, 1, 1, 2, 1, 2, 
      3, 0, 0, 3, 0, 0, 3, 0, 1, 2, 3, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 3, 2, 3, 1, 
      0, 3, 2, 0, 1, 0, 1, 3, 0, 1, 1, 2, 1, 2, 3, 0, 0, 3, 0, 0, 3, 0, 1, 2, 3, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 
      2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 3, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 
      2, 1, 0, 1, 0, 0, 3, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 3, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 
      0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 3, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 3, 1, 0, 
      1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 
      1, 3, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0 ] ]
);

TWOCOCYCLES[24].quandle[20] := rec(
  factors := [ 3, 3 ], generators := [ [ 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 
      1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 
      2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 
      2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 
      2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 
      1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 
      0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 
      2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 
      0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 
      1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 
      0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 
      2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 
      0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 
      0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0 ], 
  [ 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 
      0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 
      1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 
      0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 
      1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 
      0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 
      1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 
      0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 
      2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 
      1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 
      2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 
      0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 
      1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 
      0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0 ] ]
);

TWOCOCYCLES[24].quandle[21] := rec(
  factors := [ 3 ], generators := [ [ 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 
      2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 
      0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 
      2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 
      1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 
      2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 
      0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 
      0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 
      1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 
      1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 
      0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 
      1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 
      2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 
      2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 
      2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0 ] ]
);

TWOCOCYCLES[24].quandle[22] := rec(
  factors := [ 2, 2 ], generators := [ [ 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 
      0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 
      1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 
      1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 
      0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 
      0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 
      1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 
      1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 
      0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 
      0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 
      1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 
      0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 
      0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 
      0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 
      0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0 ], 
  [ 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 
      0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 
      1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 
      0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 
      1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 
      1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 
      0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 
      0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 
      0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 
      1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 
      0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 
      1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 
      1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 
      1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0 ] ]
);

TWOCOCYCLES[24].quandle[23] := rec(
  factors := [ 2, 4 ], generators := [ [ 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 
      0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 
      1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 
      0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 
      1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 
      1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 
      0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 
      1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 
      0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 
      1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 
      1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 
      1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 
      0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 
      0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], 
  [ 0, 0, 0, 0, 3, 3, 3, 3, 2, 0, 1, 1, 3, 3, 0, 3, 3, 0, 1, 0, 0, 0, 0, 3, 0, 0, 0, 0, 3, 3, 3, 3, 1, 
      1, 2, 0, 0, 3, 3, 3, 3, 0, 1, 0, 0, 0, 0, 3, 0, 0, 0, 0, 3, 3, 3, 3, 1, 1, 0, 2, 3, 0, 3, 3, 3, 0, 1, 0, 0, 0, 0, 3, 0, 0, 0, 0, 3, 
      3, 3, 3, 0, 2, 1, 1, 3, 3, 3, 0, 3, 0, 1, 0, 0, 0, 0, 3, 3, 3, 3, 3, 0, 0, 0, 0, 3, 3, 0, 3, 0, 2, 3, 
      3, 1, 2, 3, 2, 0, 0, 0, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 3, 3, 3, 3, 3, 0, 2, 1, 2, 3, 2, 0, 0, 0, 3, 3, 3, 3, 3, 0, 0, 0, 0, 3, 0, 3, 
      3, 3, 3, 2, 0, 1, 2, 3, 2, 0, 0, 0, 3, 3, 3, 3, 3, 0, 0, 0, 0, 3, 3, 3, 0, 2, 0, 3, 3, 1, 2, 3, 2, 0, 
      0, 0, 3, 3, 3, 0, 3, 3, 1, 2, 2, 0, 0, 0, 0, 3, 3, 3, 3, 2, 3, 0, 3, 0, 0, 0, 3, 0, 3, 3, 3, 2, 2, 3, 1, 0, 0, 0, 0, 3, 3, 3, 3, 2, 
      3, 0, 3, 0, 0, 0, 3, 3, 0, 3, 3, 2, 2, 1, 3, 0, 0, 0, 0, 3, 3, 3, 3, 2, 3, 0, 3, 0, 0, 0, 3, 3, 3, 3, 
      0, 1, 3, 2, 2, 0, 0, 0, 0, 3, 3, 3, 3, 2, 3, 0, 3, 0, 0, 0, 3, 1, 3, 0, 0, 3, 3, 0, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 
      3, 0, 0, 1, 3, 0, 3, 3, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 3, 0, 0, 3, 1, 3, 0, 3, 3, 3, 
      3, 3, 3, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 3, 3, 1, 0, 0, 3, 3, 3, 0, 3, 3, 3, 3, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 3, 3, 3, 3, 3, 3, 
      3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 3, 1, 0, 3, 3, 0, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
      3, 3, 0, 2, 3, 0, 3, 3, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 0, 1, 3, 0, 3, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
      3, 3, 3, 3, 3, 2, 1, 1, 0, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 2, 0, 3, 0, 
      0, 1, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 3, 1, 2, 1, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 
      3, 3, 0, 0, 1, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 3, 0, 0, 0, 0 ] ]
);

TWOCOCYCLES[24].quandle[24] := rec(
  factors := [ ], generators := [  ]
);

TWOCOCYCLES[24].quandle[25] := rec(
  factors := [ ], generators := [  ]
);

TWOCOCYCLES[24].quandle[26] := rec(
  factors := [ 8 ], generators := [ [ 0, 4, 6, 2, 7, 3, 5, 1, 4, 0, 5, 5, 4, 2, 3, 1, 6, 2, 5, 5, 1, 7, 0, 6, 4, 0, 2, 6, 3, 7, 1, 5, 0, 
      4, 5, 5, 2, 4, 1, 3, 6, 2, 5, 5, 1, 7, 0, 6, 2, 6, 0, 4, 1, 5, 7, 3, 5, 5, 0, 4, 3, 1, 2, 4, 6, 2, 5, 
      5, 1, 7, 0, 6, 6, 2, 4, 0, 5, 1, 3, 7, 5, 5, 4, 0, 1, 3, 4, 2, 6, 2, 5, 5, 1, 7, 0, 6, 1, 5, 7, 3, 0, 4, 6, 2, 5, 3, 4, 2, 4, 4, 7, 
      3, 7, 3, 6, 6, 0, 6, 7, 5, 5, 1, 3, 7, 4, 0, 2, 6, 3, 5, 2, 4, 4, 4, 3, 7, 7, 3, 6, 6, 0, 6, 7, 5, 3, 
      7, 1, 5, 2, 6, 0, 4, 4, 2, 3, 5, 7, 3, 4, 4, 7, 3, 6, 6, 0, 6, 7, 5, 7, 3, 5, 1, 6, 2, 4, 0, 2, 4, 5, 3, 3, 7, 4, 4, 7, 3, 6, 6, 0, 
      6, 7, 5, 3, 7, 4, 4, 2, 4, 7, 5, 0, 4, 2, 6, 1, 5, 3, 7, 6, 6, 3, 7, 6, 0, 3, 5, 7, 3, 4, 4, 4, 2, 5, 
      7, 4, 0, 6, 2, 5, 1, 7, 3, 6, 6, 3, 7, 6, 0, 3, 5, 4, 4, 7, 3, 7, 5, 4, 2, 6, 2, 0, 4, 7, 3, 1, 5, 6, 6, 3, 7, 6, 0, 3, 5, 4, 4, 3, 
      7, 5, 7, 2, 4, 2, 6, 4, 0, 3, 7, 5, 1, 6, 6, 3, 7, 6, 0, 3, 5, 1, 3, 6, 4, 5, 5, 0, 4, 7, 3, 1, 5, 0, 
      4, 2, 6, 5, 5, 2, 6, 7, 1, 4, 6, 3, 1, 4, 6, 5, 5, 4, 0, 3, 7, 5, 1, 4, 0, 6, 2, 5, 5, 2, 6, 7, 1, 4, 6, 6, 4, 3, 1, 0, 4, 5, 5, 5, 
      1, 7, 3, 6, 2, 0, 4, 5, 5, 2, 6, 7, 1, 4, 6, 4, 6, 1, 3, 4, 0, 5, 5, 1, 5, 3, 7, 2, 6, 4, 0, 5, 5, 2, 
      6, 7, 1, 4, 6, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 6, 6, 6, 6, 0, 4, 6, 2, 2, 2, 6, 6, 4, 4, 4, 4, 6, 6, 6, 6, 4, 4, 4, 4, 2, 2, 2, 
      2, 4, 0, 2, 6, 6, 6, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 6, 6, 6, 6, 4, 4, 4, 4, 6, 2, 0, 4, 2, 6, 6, 2, 6, 
      6, 6, 6, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 6, 4, 0, 6, 2, 2, 6, 2, 2, 2, 2, 2, 2, 2, 2, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 6, 6, 0, 
      4, 0, 0, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 2, 2, 2, 2, 2, 2, 6, 6, 2, 2, 4, 0, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
      4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0 ] ]
);

TWOCOCYCLES[24].quandle[27] := rec(
  factors := [ 8 ], generators := [ [ 0, 4, 2, 6, 0, 4, 4, 0, 4, 5, 7, 5, 6, 4, 4, 2, 4, 6, 2, 4, 1, 3, 4, 3, 4, 0, 6, 2, 4, 0, 0, 4, 2, 
      7, 5, 7, 0, 2, 6, 0, 0, 2, 6, 0, 1, 3, 1, 6, 1, 7, 0, 4, 2, 6, 6, 2, 5, 6, 4, 6, 5, 3, 7, 1, 3, 5, 7, 
      1, 3, 2, 2, 4, 5, 3, 4, 0, 6, 2, 2, 6, 3, 0, 6, 4, 7, 1, 5, 3, 7, 1, 3, 5, 0, 5, 2, 4, 4, 5, 4, 3, 0, 4, 6, 2, 4, 1, 5, 7, 7, 1, 3, 
      1, 3, 1, 4, 7, 1, 7, 7, 5, 0, 1, 0, 7, 4, 0, 2, 6, 6, 7, 7, 5, 5, 3, 5, 7, 3, 1, 1, 2, 5, 3, 3, 1, 2, 
      3, 5, 6, 2, 6, 0, 4, 3, 0, 0, 6, 4, 2, 4, 2, 5, 0, 2, 0, 6, 4, 6, 4, 6, 7, 1, 2, 6, 2, 4, 0, 5, 6, 6, 0, 6, 0, 6, 0, 2, 3, 2, 0, 2, 
      0, 2, 0, 3, 2, 5, 7, 6, 0, 0, 2, 0, 4, 6, 2, 0, 4, 4, 0, 0, 6, 2, 0, 3, 1, 5, 6, 5, 0, 7, 5, 4, 2, 6, 
      4, 4, 0, 2, 6, 4, 0, 0, 4, 4, 2, 6, 4, 3, 1, 0, 3, 6, 5, 4, 2, 7, 1, 5, 3, 7, 1, 0, 4, 6, 2, 2, 6, 1, 7, 5, 3, 2, 3, 6, 4, 0, 3, 2, 
      4, 5, 3, 7, 1, 3, 5, 4, 0, 2, 6, 6, 2, 5, 3, 1, 7, 5, 0, 6, 4, 0, 3, 0, 6, 4, 2, 4, 6, 3, 2, 5, 6, 0, 
      4, 2, 6, 0, 2, 0, 5, 4, 6, 2, 4, 6, 5, 6, 0, 6, 0, 2, 0, 7, 6, 1, 2, 4, 0, 6, 2, 0, 2, 3, 2, 0, 2, 6, 0, 1, 4, 5, 7, 3, 5, 7, 1, 5, 
      4, 4, 3, 6, 2, 0, 4, 7, 4, 1, 3, 7, 1, 3, 5, 7, 6, 7, 5, 1, 7, 5, 3, 1, 0, 0, 7, 2, 6, 4, 0, 2, 1, 1, 
      3, 3, 5, 7, 1, 5, 6, 3, 7, 2, 6, 5, 6, 3, 2, 6, 2, 5, 1, 3, 2, 0, 4, 4, 4, 2, 2, 6, 6, 5, 6, 3, 7, 6, 2, 6, 5, 3, 2, 6, 2, 1, 5, 2, 
      3, 4, 0, 0, 0, 6, 6, 2, 2, 2, 3, 6, 2, 2, 3, 1, 5, 6, 5, 3, 7, 6, 5, 6, 2, 0, 0, 0, 4, 2, 6, 6, 2, 2, 
      3, 6, 2, 3, 2, 5, 1, 6, 5, 3, 7, 5, 6, 2, 6, 4, 4, 4, 0, 6, 2, 2, 6, 7, 4, 0, 5, 5, 5, 3, 3, 0, 3, 1, 4, 3, 3, 5, 5, 4, 0, 4, 0, 0, 
      4, 0, 0, 3, 0, 1, 4, 5, 5, 3, 3, 4, 7, 0, 5, 3, 3, 5, 5, 0, 4, 0, 4, 4, 0, 4, 4, 7, 1, 4, 4, 0, 0, 0, 
      0, 1, 7, 4, 4, 0, 0, 0, 0, 4, 4, 4, 4, 4, 4, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0 ] ]
);

TWOCOCYCLES[24].quandle[28] := rec(
  factors := [ 8 ], generators := [ [ 0, 4, 6, 2, 4, 0, 0, 4, 1, 7, 0, 3, 6, 7, 6, 3, 5, 6, 6, 1, 5, 3, 4, 1, 4, 0, 2, 6, 0, 4, 4, 0, 7, 
      1, 3, 0, 7, 6, 3, 6, 5, 6, 6, 1, 5, 3, 4, 1, 2, 6, 0, 4, 6, 2, 2, 6, 3, 6, 4, 6, 3, 0, 2, 1, 2, 3, 1, 
      4, 0, 6, 1, 6, 6, 2, 4, 0, 2, 6, 6, 2, 6, 3, 6, 4, 0, 3, 1, 2, 2, 3, 1, 4, 0, 6, 1, 6, 6, 2, 2, 6, 0, 4, 6, 2, 2, 3, 4, 1, 7, 2, 6, 
      0, 1, 2, 0, 3, 6, 4, 5, 2, 2, 6, 6, 2, 4, 0, 2, 6, 3, 2, 1, 4, 2, 7, 0, 6, 1, 2, 0, 3, 6, 4, 5, 2, 0, 
      4, 4, 0, 2, 6, 0, 4, 7, 4, 0, 7, 3, 5, 5, 2, 4, 5, 5, 0, 1, 7, 2, 7, 4, 0, 0, 4, 6, 2, 4, 0, 4, 7, 7, 0, 5, 3, 2, 5, 4, 5, 5, 0, 1, 
      7, 2, 7, 6, 4, 6, 7, 0, 3, 2, 1, 0, 4, 2, 6, 6, 2, 6, 2, 4, 1, 3, 2, 6, 0, 5, 6, 4, 6, 7, 6, 3, 0, 1, 
      2, 4, 0, 6, 2, 2, 6, 2, 6, 4, 1, 3, 2, 6, 0, 5, 6, 3, 4, 7, 1, 7, 6, 6, 3, 6, 2, 0, 4, 4, 0, 4, 0, 1, 6, 6, 5, 3, 5, 0, 1, 4, 3, 1, 
      7, 6, 7, 3, 6, 2, 6, 4, 0, 0, 4, 0, 4, 1, 6, 6, 5, 3, 5, 0, 1, 1, 4, 3, 2, 2, 3, 6, 0, 2, 6, 6, 2, 0, 
      4, 2, 6, 3, 0, 2, 1, 4, 6, 1, 2, 4, 1, 2, 3, 3, 2, 0, 6, 6, 2, 2, 6, 4, 0, 6, 2, 3, 0, 2, 1, 4, 6, 1, 2, 0, 7, 7, 4, 3, 5, 6, 5, 0, 
      4, 4, 0, 6, 2, 0, 4, 0, 5, 5, 4, 7, 1, 6, 7, 7, 0, 4, 7, 5, 3, 5, 6, 4, 0, 0, 4, 2, 6, 4, 0, 0, 5, 5, 
      4, 7, 1, 6, 7, 2, 2, 2, 2, 5, 5, 3, 3, 3, 3, 5, 5, 6, 6, 6, 6, 0, 4, 3, 5, 6, 5, 3, 2, 6, 6, 6, 6, 1, 1, 7, 7, 7, 7, 1, 1, 2, 2, 2, 
      2, 4, 0, 7, 1, 2, 1, 7, 6, 1, 1, 7, 7, 2, 2, 2, 2, 6, 6, 6, 6, 1, 1, 7, 7, 1, 7, 0, 4, 5, 2, 3, 6, 5, 
      5, 3, 3, 6, 6, 6, 6, 2, 2, 2, 2, 5, 5, 3, 3, 5, 3, 4, 0, 1, 6, 7, 2, 7, 7, 5, 5, 7, 7, 5, 5, 1, 1, 3, 3, 3, 3, 1, 1, 5, 7, 3, 1, 0, 
      4, 1, 7, 3, 3, 1, 1, 3, 3, 1, 1, 5, 5, 7, 7, 7, 7, 5, 5, 1, 3, 7, 5, 4, 0, 5, 3, 4, 4, 4, 4, 4, 4, 4, 
      4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0 ] ]
);

TWOCOCYCLES[24].quandle[29] := rec(
  factors := [ 2, 4, 4 ], generators := [ [ 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 
      1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 
      0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 
      0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 
      1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 
      1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 
      0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 
      1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 
      1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 
      0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 
      0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
      1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 
      1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 
      1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 
      1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0 ], 
  [ 0, 0, 2, 0, 2, 2, 0, 2, 2, 3, 3, 3, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 3, 0, 0, 2, 0, 2, 2, 0, 2, 3, 2, 2, 
      0, 1, 2, 1, 1, 3, 3, 0, 1, 0, 2, 0, 3, 3, 3, 0, 0, 3, 3, 2, 2, 1, 0, 3, 3, 1, 0, 0, 0, 3, 0, 2, 2, 3, 0, 3, 3, 3, 3, 0, 0, 3, 3, 2, 
      2, 0, 1, 2, 0, 0, 1, 1, 3, 3, 0, 1, 3, 3, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 3, 3, 2, 3, 2, 0, 1, 
      1, 0, 1, 2, 0, 0, 3, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 3, 2, 1, 1, 0, 2, 0, 1, 3, 3, 0, 3, 3, 3, 2, 2, 3, 3, 0, 0, 3, 2, 3, 1, 3, 
      2, 0, 2, 1, 2, 1, 3, 1, 2, 0, 2, 3, 3, 2, 2, 3, 3, 0, 0, 2, 3, 0, 0, 2, 3, 3, 3, 1, 2, 2, 2, 1, 2, 3, 
      3, 3, 0, 3, 1, 3, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 3, 1, 2, 3, 2, 2, 0, 3, 0, 3, 0, 0, 2, 3, 3, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 
      3, 1, 3, 0, 3, 3, 0, 2, 2, 3, 0, 3, 3, 3, 3, 0, 0, 3, 3, 2, 2, 0, 1, 0, 0, 0, 1, 3, 3, 0, 3, 1, 3, 0, 
      3, 0, 2, 3, 3, 0, 0, 3, 3, 2, 2, 0, 1, 3, 1, 0, 1, 0, 2, 3, 2, 3, 1, 3, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 3, 3, 1, 0, 3, 2, 
      3, 0, 0, 0, 3, 3, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 3, 2, 3, 0, 0, 0, 3, 1, 2, 2, 0, 1, 2, 3, 1, 3, 3, 2, 
      2, 3, 3, 0, 0, 2, 3, 3, 1, 2, 3, 0, 2, 2, 1, 3, 3, 2, 1, 2, 2, 3, 3, 2, 2, 3, 3, 0, 0, 2, 3, 0, 0, 2, 3, 3, 3, 2, 3, 3, 0, 3, 2, 0, 
      3, 2, 3, 3, 0, 3, 2, 0, 3, 0, 0, 2, 0, 2, 2, 0, 2, 3, 2, 3, 0, 2, 3, 0, 3, 3, 2, 3, 0, 2, 3, 0, 3, 0, 
      0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 3, 2, 2, 3, 1, 2, 2, 1, 3, 2, 
      2, 3, 1, 2, 0, 0, 0, 2, 0, 2, 2, 3, 2, 3, 0, 2, 3, 0, 3, 3, 2, 3, 0, 2, 3, 0, 3, 2, 2, 2, 0, 0, 0, 0, 
      2, 2, 3, 3, 0, 3, 2, 0, 3, 2, 3, 3, 0, 3, 2, 0, 3, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 3, 1, 0, 0, 1, 3, 0, 0, 3, 1, 0, 0, 1, 3, 2, 0, 2, 
      2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0 ], 
  [ 0, 0, 3, 1, 3, 3, 0, 2, 3, 0, 3, 0, 0, 3, 0, 2, 1, 3, 1, 2, 0, 3, 0, 
      3, 0, 0, 3, 1, 3, 3, 0, 2, 1, 2, 3, 0, 2, 1, 3, 3, 2, 2, 0, 3, 3, 0, 1, 2, 3, 1, 0, 0, 0, 2, 3, 3, 3, 2, 1, 0, 2, 2, 0, 1, 3, 3, 0, 
      1, 0, 1, 3, 2, 3, 1, 0, 0, 0, 2, 3, 3, 3, 2, 3, 2, 1, 3, 2, 3, 2, 0, 3, 2, 1, 0, 0, 1, 3, 3, 2, 0, 0, 
      0, 1, 3, 3, 0, 1, 1, 2, 1, 0, 3, 0, 0, 2, 1, 3, 0, 1, 2, 3, 3, 2, 0, 0, 0, 1, 3, 1, 2, 0, 2, 0, 3, 0, 3, 3, 1, 3, 0, 0, 3, 0, 3, 2, 
      0, 3, 3, 1, 3, 0, 0, 1, 3, 1, 0, 2, 3, 2, 3, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 3, 3, 1, 3, 0, 0, 0, 0, 3, 
      2, 2, 3, 0, 1, 1, 1, 2, 3, 0, 1, 3, 2, 1, 0, 1, 3, 1, 2, 0, 3, 0, 0, 3, 1, 3, 3, 0, 2, 2, 0, 1, 0, 0, 3, 1, 2, 3, 2, 2, 2, 3, 0, 0, 
      3, 0, 0, 3, 1, 3, 3, 0, 2, 3, 3, 2, 3, 3, 0, 0, 3, 0, 2, 0, 3, 3, 2, 0, 1, 1, 3, 0, 0, 2, 0, 3, 3, 3, 
      1, 1, 2, 1, 0, 3, 2, 1, 1, 2, 1, 3, 2, 2, 3, 1, 3, 0, 0, 2, 0, 3, 3, 0, 0, 0, 3, 0, 1, 0, 1, 0, 3, 3, 0, 0, 1, 0, 0, 3, 3, 2, 0, 0, 
      0, 1, 3, 1, 1, 0, 1, 3, 0, 0, 3, 2, 1, 3, 0, 2, 3, 1, 3, 3, 3, 2, 0, 0, 0, 1, 3, 0, 2, 3, 2, 0, 3, 1, 
      2, 2, 3, 3, 2, 3, 3, 3, 0, 0, 2, 3, 3, 3, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 3, 1, 0, 0, 2, 1, 2, 0, 2, 3, 3, 3, 1, 0, 0, 1, 3, 3, 
      0, 1, 0, 3, 2, 1, 3, 0, 0, 3, 1, 0, 0, 2, 2, 3, 1, 2, 2, 1, 3, 0, 0, 2, 2, 3, 3, 1, 1, 2, 2, 3, 1, 2, 
      2, 1, 3, 3, 1, 0, 0, 1, 3, 0, 0, 0, 0, 2, 2, 3, 3, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 1, 0, 0, 3, 3, 3, 3, 2, 
      0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 3, 1, 0, 0, 3, 3, 3, 3, 3, 3, 0, 2, 3, 3, 2, 0, 0, 2, 1, 
      1, 2, 0, 1, 1, 3, 3, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 3, 3, 0, 2, 3, 3, 2, 0, 3, 3, 1, 1, 0, 0, 2, 2, 3, 1, 3, 1, 1, 3, 1, 
      3, 1, 3, 3, 1, 3, 1, 1, 3, 2, 0, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 3, 3, 0, 0, 0, 0 ] ]
);

TWOCOCYCLES[24].quandle[30] := rec(
  factors := [ 2, 2, 4 ], generators := [ [ 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 
      1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 
      0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 
      1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 
      1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 
      0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 
      0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 
      0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 
      1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 
      1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 
      0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 
      0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 
      0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 
      0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], 
  [ 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 
      0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 
      1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 
      1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 
      0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 
      1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 
      1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
      1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 
      1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 
      1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 
      0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 
      0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 
      1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 
      1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 
      1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0 ], 
  [ 0, 2, 1, 3, 0, 2, 3, 1, 2, 3, 2, 3, 2, 1, 0, 3, 2, 1, 1, 2, 2, 3, 1, 
      0, 2, 0, 3, 1, 2, 0, 1, 3, 1, 0, 1, 0, 3, 0, 1, 2, 0, 3, 3, 0, 0, 1, 3, 2, 3, 1, 0, 2, 1, 3, 0, 2, 1, 2, 2, 1, 1, 0, 2, 3, 3, 2, 2, 
      3, 1, 2, 0, 3, 1, 3, 2, 0, 3, 1, 2, 0, 0, 3, 3, 0, 2, 3, 1, 0, 1, 0, 0, 1, 3, 0, 2, 1, 0, 2, 3, 1, 0, 
      2, 1, 3, 0, 3, 0, 3, 0, 1, 2, 3, 0, 3, 1, 2, 0, 1, 1, 0, 2, 0, 1, 3, 2, 0, 3, 1, 1, 2, 1, 2, 3, 2, 1, 0, 2, 1, 3, 0, 2, 3, 3, 2, 1, 
      3, 0, 2, 3, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 3, 1, 0, 2, 3, 3, 0, 0, 3, 3, 1, 2, 0, 1, 3, 2, 0, 2, 3, 3, 
      2, 0, 3, 1, 2, 3, 2, 0, 1, 1, 2, 2, 1, 0, 3, 1, 0, 0, 1, 1, 2, 0, 2, 3, 1, 0, 2, 1, 3, 0, 1, 0, 3, 0, 3, 2, 3, 1, 2, 2, 3, 3, 2, 0, 
      3, 2, 0, 1, 3, 2, 0, 3, 1, 2, 3, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 3, 1, 3, 0, 2, 3, 1, 0, 2, 3, 
      0, 3, 2, 1, 0, 3, 0, 3, 0, 3, 2, 3, 2, 1, 2, 3, 1, 2, 0, 1, 3, 2, 0, 1, 2, 1, 0, 3, 2, 1, 2, 2, 3, 1, 2, 2, 1, 1, 0, 0, 2, 1, 3, 0, 
      2, 3, 1, 2, 3, 0, 3, 2, 1, 2, 3, 1, 0, 0, 3, 3, 0, 2, 3, 2, 0, 3, 1, 2, 0, 1, 3, 0, 1, 2, 1, 0, 3, 0, 
      1, 0, 1, 2, 1, 2, 1, 2, 3, 3, 1, 0, 2, 1, 3, 0, 2, 1, 2, 3, 2, 3, 2, 3, 0, 3, 2, 3, 0, 3, 0, 1, 0, 1, 3, 2, 0, 3, 1, 2, 0, 3, 0, 1, 
      0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 
      2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0 ] ]
);

TWOCOCYCLES[24].quandle[31] := rec(
  factors := [ 2, 2, 4 ], generators := [ [ 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 
      1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 
      0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 
      1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 
      1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 
      1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 
      1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 
      0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 
      1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 
      1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 
      0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 
      0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 
      0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
      0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], 
  [ 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 
      1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 
      1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 
      0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 
      0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 
      0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 
      0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
      1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 
      0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 
      1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 
      0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 
      0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 
      1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 
      1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 
      1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0 ], 
  [ 0, 2, 2, 2, 2, 0, 1, 3, 1, 1, 3, 3, 0, 3, 1, 0, 1, 2, 2, 3, 2, 0, 1, 
      1, 2, 0, 0, 0, 0, 2, 3, 1, 1, 1, 2, 0, 3, 0, 0, 1, 1, 2, 2, 3, 3, 3, 1, 1, 3, 1, 0, 2, 3, 1, 2, 0, 0, 3, 0, 1, 3, 2, 1, 2, 3, 0, 0, 
      1, 2, 3, 2, 1, 1, 3, 2, 0, 1, 3, 0, 2, 3, 0, 0, 1, 2, 3, 2, 1, 3, 0, 0, 1, 2, 3, 1, 2, 2, 0, 2, 2, 0, 
      2, 1, 3, 2, 1, 0, 0, 3, 3, 0, 3, 1, 3, 0, 1, 2, 3, 3, 3, 0, 2, 0, 0, 2, 0, 3, 1, 1, 2, 3, 1, 3, 3, 3, 0, 2, 2, 0, 1, 2, 3, 3, 3, 3, 
      1, 2, 0, 3, 1, 0, 2, 3, 2, 2, 0, 0, 3, 3, 3, 3, 0, 3, 3, 2, 3, 3, 3, 1, 3, 0, 2, 1, 3, 2, 0, 2, 3, 3, 
      3, 3, 0, 3, 3, 3, 0, 2, 0, 2, 3, 3, 3, 1, 3, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 3, 1, 2, 1, 2, 1, 3, 3, 3, 1, 3, 1, 3, 3, 0, 1, 0, 
      1, 2, 0, 0, 0, 0, 2, 1, 3, 2, 1, 2, 1, 0, 2, 3, 1, 0, 3, 3, 0, 3, 2, 2, 3, 1, 3, 0, 2, 1, 3, 2, 0, 0, 
      3, 0, 3, 3, 2, 0, 1, 3, 0, 1, 2, 2, 3, 3, 2, 3, 1, 2, 0, 3, 1, 0, 2, 0, 3, 0, 3, 3, 2, 3, 2, 3, 2, 1, 3, 3, 1, 0, 3, 2, 0, 2, 2, 0, 
      2, 3, 1, 2, 2, 0, 3, 3, 2, 1, 3, 2, 3, 0, 0, 1, 3, 3, 0, 0, 2, 0, 0, 2, 0, 1, 3, 3, 1, 0, 3, 3, 2, 1, 
      3, 3, 2, 0, 0, 0, 3, 1, 3, 1, 3, 2, 0, 1, 3, 0, 2, 0, 3, 3, 1, 3, 2, 1, 3, 2, 3, 1, 3, 3, 0, 3, 1, 3, 1, 0, 2, 3, 1, 2, 0, 0, 3, 2, 
      2, 3, 2, 1, 3, 1, 1, 1, 0, 2, 1, 1, 1, 3, 3, 2, 3, 0, 3, 3, 3, 0, 2, 0, 0, 2, 0, 1, 3, 3, 3, 3, 2, 3, 
      0, 3, 3, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 3, 1, 2, 2, 2, 1, 2, 2, 2, 3, 2, 2, 1, 2, 2, 2, 2, 3, 2, 2, 0, 2, 2, 2, 2, 0, 0, 
      0, 0, 3, 0, 0, 1, 0, 0, 0, 3, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 3, 3, 2, 3, 3, 3, 3, 2, 1, 0, 
      1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 3, 1, 2, 1, 0, 1, 1, 1, 1, 3, 0, 2, 3, 3, 3, 3, 3, 0, 2, 2, 2, 2, 0, 3, 1, 2, 2, 2, 2, 2, 2, 2, 
      2, 2, 2, 1, 3, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0 ] ]
);

TWOCOCYCLES[24].quandle[32] := rec(
  factors := [ 2, 8 ], generators := [ [ 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 
      0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 
      1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 
      0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 
      1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 
      0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 
      1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 
      1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 
      0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 
      0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 
      1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 
      1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 
      1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 
      0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 
      0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0 ], 
  [ 0, 4, 6, 2, 3, 7, 1, 5, 4, 4, 0, 1, 5, 3, 2, 4, 5, 2, 1, 0, 7, 5, 4, 1, 4, 0, 2, 6, 7, 3, 5, 1, 1, 
      7, 1, 0, 3, 5, 4, 2, 5, 2, 1, 0, 7, 5, 7, 6, 7, 1, 0, 4, 5, 1, 3, 7, 5, 1, 4, 7, 2, 4, 3, 5, 5, 2, 1, 0, 7, 0, 4, 6, 3, 5, 4, 0, 1, 
      5, 7, 3, 6, 0, 7, 4, 4, 2, 5, 3, 5, 2, 1, 0, 2, 5, 4, 6, 2, 1, 6, 7, 0, 4, 6, 2, 2, 3, 2, 4, 0, 1, 4, 
      7, 5, 2, 1, 3, 7, 5, 4, 6, 6, 5, 2, 3, 4, 0, 2, 6, 0, 5, 4, 2, 1, 0, 7, 4, 5, 2, 4, 0, 7, 5, 4, 6, 4, 3, 5, 4, 2, 6, 0, 4, 7, 4, 3, 
      5, 4, 7, 1, 0, 5, 5, 1, 0, 7, 5, 4, 6, 0, 7, 1, 0, 6, 2, 4, 0, 1, 2, 5, 3, 7, 4, 0, 1, 0, 2, 1, 0, 7, 
      5, 4, 6, 0, 1, 2, 4, 4, 7, 0, 1, 0, 4, 2, 6, 5, 1, 7, 3, 0, 4, 2, 5, 5, 7, 0, 6, 6, 3, 4, 2, 7, 4, 1, 0, 4, 0, 6, 2, 1, 5, 3, 7, 3, 
      1, 2, 5, 5, 7, 0, 6, 7, 4, 1, 3, 0, 1, 7, 4, 3, 5, 0, 4, 3, 7, 5, 1, 0, 1, 5, 5, 5, 7, 0, 6, 1, 2, 3, 
      1, 1, 0, 4, 7, 7, 1, 4, 0, 7, 3, 1, 5, 0, 1, 2, 0, 5, 7, 0, 6, 1, 7, 0, 1, 2, 4, 1, 3, 0, 7, 0, 1, 0, 4, 2, 6, 0, 1, 2, 5, 5, 7, 3, 
      6, 4, 4, 1, 0, 4, 2, 3, 1, 4, 3, 4, 5, 4, 0, 6, 2, 0, 1, 2, 5, 5, 7, 0, 1, 5, 1, 7, 4, 1, 3, 4, 2, 6, 
      5, 3, 2, 6, 2, 0, 4, 0, 1, 2, 5, 0, 7, 0, 6, 6, 0, 4, 7, 3, 1, 2, 4, 2, 1, 7, 6, 2, 6, 4, 0, 0, 1, 2, 5, 5, 2, 0, 6, 2, 0, 5, 5, 5, 
      5, 5, 5, 0, 3, 3, 3, 3, 3, 3, 6, 0, 4, 7, 1, 4, 0, 0, 4, 1, 1, 1, 1, 1, 1, 1, 1, 4, 7, 7, 7, 7, 7, 2, 
      7, 4, 0, 3, 5, 0, 4, 4, 0, 4, 7, 2, 7, 7, 7, 7, 7, 6, 1, 1, 1, 1, 4, 1, 1, 5, 3, 0, 4, 0, 0, 0, 0, 0, 3, 3, 6, 3, 3, 3, 3, 2, 5, 5, 
      5, 0, 5, 5, 5, 1, 7, 4, 0, 4, 4, 4, 4, 7, 2, 2, 2, 2, 2, 5, 2, 3, 6, 6, 1, 6, 6, 6, 6, 1, 3, 7, 5, 0, 
      4, 4, 4, 3, 6, 6, 6, 6, 6, 6, 1, 7, 2, 5, 2, 2, 2, 2, 2, 5, 7, 3, 1, 4, 0, 0, 0, 1, 4, 4, 4, 7, 4, 4, 4, 1, 7, 4, 4, 4, 4, 4, 4, 4, 
      4, 4, 4, 4, 4, 0, 4, 5, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0 ] ]
);

TWOCOCYCLES[24].quandle[33] := rec(
  factors := [ 2, 4, 4 ], generators := [ [ 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 
      0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 
      1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 
      0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 
      1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 
      1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 
      0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 
      0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 
      0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 
      0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 
      1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
      1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 
      1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 
      0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 
      1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0 ], 
  [ 0, 0, 1, 1, 2, 2, 3, 3, 0, 1, 1, 2, 0, 3, 3, 2, 3, 0, 2, 3, 3, 2, 0, 3, 0, 0, 1, 1, 2, 2, 3, 3, 1, 0, 2, 
      1, 3, 0, 2, 3, 3, 0, 2, 3, 3, 2, 0, 3, 1, 1, 0, 0, 3, 3, 2, 2, 0, 1, 0, 3, 0, 3, 0, 1, 0, 1, 3, 0, 2, 1, 3, 2, 1, 1, 0, 0, 3, 3, 2, 
      2, 1, 0, 3, 0, 3, 0, 1, 0, 0, 1, 3, 0, 2, 1, 3, 2, 2, 2, 3, 3, 0, 0, 1, 1, 1, 0, 2, 1, 3, 0, 2, 3, 2, 
      3, 3, 0, 0, 3, 3, 2, 2, 2, 3, 3, 0, 0, 1, 1, 0, 1, 1, 2, 0, 3, 3, 2, 2, 3, 3, 0, 0, 3, 3, 2, 3, 3, 2, 2, 1, 1, 0, 0, 1, 0, 3, 0, 3, 
      0, 1, 0, 1, 2, 2, 3, 1, 0, 0, 3, 3, 3, 2, 2, 1, 1, 0, 0, 0, 1, 0, 3, 0, 3, 0, 1, 1, 2, 2, 3, 1, 0, 0, 
      3, 3, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 3, 3, 3, 0, 1, 2, 3, 2, 3, 2, 2, 3, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 3, 3, 3, 0, 1, 
      2, 3, 2, 3, 2, 3, 0, 1, 2, 3, 2, 3, 2, 1, 1, 0, 0, 3, 3, 2, 2, 2, 3, 0, 1, 0, 3, 0, 3, 0, 3, 2, 1, 2, 
      3, 2, 3, 1, 1, 0, 0, 3, 3, 2, 2, 2, 3, 0, 1, 0, 3, 0, 3, 0, 1, 3, 2, 0, 3, 3, 0, 2, 2, 3, 3, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 3, 1, 
      0, 2, 3, 3, 0, 0, 3, 2, 2, 3, 3, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 3, 2, 1, 0, 3, 0, 1, 0, 1, 3, 3, 2, 
      2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 3, 2, 1, 2, 3, 0, 1, 0, 1, 0, 3, 3, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 3, 2, 3, 3, 3, 3, 3, 3, 3, 
      3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 0, 0, 2, 2, 2, 0, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 
      0, 0, 2, 2, 2, 0, 2, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 1, 1, 1, 1, 3, 3, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 1, 1, 1, 
      1, 3, 3, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 
      0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 
      2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0 ], 
  [ 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 3, 3, 0, 
      1, 0, 0, 0, 0, 1, 1, 1, 1, 3, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 3, 3, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 3, 3, 0, 3, 3, 2, 3, 
      1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 3, 3, 3, 0, 3, 2, 3, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 
      0, 0, 0, 3, 0, 3, 3, 0, 2, 3, 2, 1, 0, 1, 3, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 3, 3, 3, 2, 0, 2, 3, 1, 0, 1, 3, 2, 2, 1, 2, 1, 
      1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 3, 1, 3, 0, 3, 2, 0, 3, 3, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 
      1, 3, 0, 3, 1, 0, 3, 2, 0, 3, 3, 0, 1, 3, 3, 0, 3, 0, 3, 3, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 3, 0, 2, 2, 2, 1, 2, 3, 3, 3, 0, 3, 0, 1, 
      3, 0, 0, 0, 0, 1, 1, 1, 1, 0, 3, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 3, 
      2, 1, 3, 3, 3, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 3, 2, 1, 3, 3, 3, 0, 1, 3, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 
      0, 0, 0, 1, 0, 3, 1, 3, 3, 0, 1, 2, 3, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 3, 1, 3, 3, 0, 
      1, 1, 3, 1, 2, 0, 3, 3, 3, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 3, 1, 2, 1, 3, 0, 3, 3, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 
      0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 
      1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 3, 0, 0, 1, 1, 1, 1, 2, 
      2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 3, 0, 0, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 1, 
      1, 1, 1, 3, 3, 1, 1, 3, 3, 0, 0, 3, 1, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 1, 1, 1, 1, 3, 3, 1, 1, 3, 3, 0, 0, 3, 1, 0, 0, 0, 0, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0 ] ]
);

TWOCOCYCLES[24].quandle[34] := rec(
  factors := [ 2, 2, 4 ], generators := 
[ [ 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 
      0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 
      1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 
      0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 
      1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 
      1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 
      0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 
      0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 
      1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 
      0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 
      0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 
      1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 
      0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 
      0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 
      0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 
      1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 
      0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0 ], 
  [ 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 
      0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 
      0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 
      1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 
      0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 
      1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 
      0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 
      1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 
      0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
      0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 
      1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 
      1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 
      1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 
      0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 
      1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 
      1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 
      1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 
      1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 
      0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 
      1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 
      0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 
      1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 
      1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 
      0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0 ], 
  [ 0, 2, 2, 2, 1, 3, 2, 2, 3, 2, 0, 3, 2, 1, 1, 1, 3, 3, 3, 2, 0, 1, 2, 1, 
      2, 0, 2, 2, 3, 1, 2, 2, 0, 1, 2, 1, 3, 0, 1, 1, 3, 3, 1, 0, 3, 2, 0, 
      3, 2, 2, 0, 2, 2, 2, 1, 3, 3, 3, 3, 3, 0, 2, 0, 3, 0, 2, 0, 1, 1, 1, 
      1, 1, 2, 2, 2, 0, 2, 2, 3, 1, 3, 3, 0, 2, 2, 0, 1, 2, 0, 2, 2, 3, 1, 
      1, 2, 0, 3, 1, 2, 2, 0, 2, 2, 2, 2, 3, 2, 3, 0, 3, 1, 3, 1, 2, 2, 1, 
      1, 3, 1, 0, 1, 3, 2, 2, 2, 0, 2, 2, 1, 0, 2, 3, 1, 2, 3, 1, 2, 1, 0, 
      3, 1, 3, 3, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 3, 3, 2, 3, 0, 2, 
      2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 3, 1, 3, 3, 1, 0, 0, 
      2, 3, 1, 1, 1, 3, 0, 3, 0, 1, 2, 2, 1, 3, 3, 0, 2, 2, 2, 1, 3, 2, 2, 
      1, 1, 2, 3, 2, 3, 0, 1, 2, 1, 3, 0, 3, 0, 3, 3, 2, 0, 2, 2, 3, 1, 2, 
      2, 1, 1, 0, 1, 1, 0, 2, 3, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 
      3, 1, 2, 0, 3, 2, 3, 3, 0, 0, 1, 1, 3, 1, 2, 0, 0, 3, 2, 2, 2, 0, 2, 
      2, 1, 3, 2, 0, 1, 0, 3, 3, 3, 1, 2, 3, 1, 0, 0, 1, 3, 1, 3, 1, 2, 2, 
      0, 2, 2, 2, 3, 0, 1, 2, 3, 1, 3, 0, 1, 0, 1, 0, 3, 2, 1, 3, 1, 3, 2, 
      2, 2, 0, 2, 2, 0, 3, 3, 0, 3, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 
      0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 3, 3, 3, 2, 2, 0, 1, 3, 1, 1, 3, 0, 2, 
      2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 3, 3, 3, 1, 0, 1, 1, 1, 0, 3, 0, 3, 3, 
      1, 1, 0, 1, 3, 0, 3, 3, 0, 2, 2, 2, 1, 3, 2, 2, 3, 3, 3, 2, 2, 1, 1, 
      1, 3, 3, 2, 3, 2, 1, 1, 1, 2, 0, 2, 2, 3, 1, 2, 2, 0, 0, 2, 1, 0, 0, 
      3, 2, 0, 0, 1, 2, 0, 0, 2, 3, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 
      0, 2, 3, 0, 0, 1, 2, 0, 0, 3, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 3, 
      2, 2, 2, 2, 1, 0, 3, 0, 2, 2, 2, 2, 1, 3, 2, 2, 0, 2, 2, 2, 2, 3, 2, 
      1, 0, 0, 0, 0, 2, 3, 1, 2, 0, 0, 0, 0, 3, 1, 2, 2, 2, 0, 2, 2, 0, 0, 
      1, 3, 0, 0, 0, 0, 0, 0, 3, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0 ] ]
);

TWOCOCYCLES[24].quandle[35] := rec(
  factors := [ 2, 2, 2 ], generators := 
[ [ 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 
      0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 
      0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 
      0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 
      0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 
      0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 
      1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 
      0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 
      0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 
      0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 
      1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 
      1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 
      1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 
      0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 
      1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 
      1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 
      1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
      1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 
      1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], 
  [ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 
      0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 
      1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 
      0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 
      1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 
      0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 
      0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 
      1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 
      0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
      1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 
      1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 
      1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 
      1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
      0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 
      1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 
      1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 
      1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], 
  [ 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 
      0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 
      0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 
      1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 
      1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 
      1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 
      1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 
      0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 
      0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 
      0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 
      1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 
      0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 
      1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 
      0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 
      1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 
      0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 
      1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 
      1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
      1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]
);

TWOCOCYCLES[24].quandle[36] := rec(
  factors := [ 2, 2, 4 ], generators := 
[ [ 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 
      0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 
      1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 
      0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 
      1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 
      1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 
      0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 
      0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 
      1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 
      1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 
      0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 
      0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 
      0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 
      0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 
      0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 
      0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 
      0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 
      0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 
      0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 
      0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 
      0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 
      1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
      0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], 
  [ 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 
      0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 
      0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 
      1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 
      1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 
      0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 
      1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 
      1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 
      1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 
      0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 
      1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 
      1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 
      1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 
      0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 
      1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 
      1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 
      1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 
      0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 
      0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 
      0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 
      0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 
      0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 
      1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0 ], 
  [ 0, 1, 2, 1, 1, 3, 1, 1, 2, 0, 2, 0, 3, 1, 2, 1, 3, 3, 0, 3, 2, 2, 2, 2, 
      1, 0, 1, 2, 1, 1, 3, 1, 2, 0, 0, 2, 3, 3, 1, 0, 3, 3, 2, 1, 2, 2, 0, 
      0, 2, 1, 0, 1, 1, 1, 1, 3, 0, 0, 0, 0, 2, 3, 3, 3, 3, 1, 0, 1, 0, 2, 
      0, 2, 1, 2, 1, 0, 3, 1, 1, 1, 0, 0, 2, 2, 3, 0, 1, 3, 3, 1, 2, 3, 0, 
      2, 2, 0, 1, 3, 1, 1, 0, 1, 2, 1, 2, 2, 3, 0, 1, 1, 3, 3, 0, 0, 3, 2, 
      3, 1, 1, 3, 1, 1, 3, 1, 1, 0, 1, 2, 3, 0, 3, 1, 2, 2, 2, 2, 1, 1, 2, 
      1, 2, 0, 2, 0, 1, 1, 1, 3, 2, 1, 0, 1, 3, 2, 2, 0, 1, 3, 3, 1, 0, 2, 
      3, 0, 1, 1, 3, 3, 3, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 
      3, 2, 3, 0, 0, 0, 0, 1, 2, 3, 2, 3, 0, 0, 2, 0, 1, 2, 1, 1, 3, 1, 1, 
      2, 2, 3, 0, 1, 0, 3, 0, 0, 1, 2, 1, 0, 2, 0, 3, 1, 0, 1, 2, 3, 1, 1, 
      1, 0, 0, 3, 0, 3, 0, 3, 2, 1, 2, 3, 2, 0, 0, 3, 2, 2, 1, 0, 1, 1, 1, 
      1, 3, 2, 0, 3, 2, 3, 0, 1, 0, 2, 3, 0, 3, 2, 3, 2, 2, 1, 2, 1, 0, 1, 
      1, 3, 1, 0, 2, 3, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 3, 
      0, 1, 2, 1, 2, 2, 1, 2, 3, 2, 3, 0, 3, 2, 1, 3, 3, 2, 3, 0, 1, 1, 3, 
      1, 1, 0, 1, 2, 3, 1, 0, 3, 0, 3, 2, 3, 0, 0, 1, 0, 3, 0, 3, 2, 1, 3, 
      1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 3, 3, 1, 2, 3, 2, 3, 0, 3, 
      1, 1, 1, 1, 2, 1, 0, 3, 3, 0, 1, 2, 3, 0, 3, 1, 0, 1, 0, 2, 1, 2, 1, 
      2, 3, 2, 3, 3, 0, 3, 0, 0, 1, 2, 1, 1, 1, 1, 3, 2, 1, 2, 1, 0, 1, 0, 
      1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 3, 1, 1, 1, 3, 2, 3, 2, 0, 3, 
      0, 3, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 3, 1, 1, 2, 1, 2, 1, 0, 
      1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 3, 1, 3, 3, 3, 3, 
      2, 0, 2, 0, 3, 3, 3, 3, 0, 2, 0, 2, 1, 1, 1, 3, 0, 1, 2, 1, 2, 2, 2, 
      2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 3, 3, 
      3, 3, 2, 0, 2, 0, 3, 3, 3, 3, 0, 2, 0, 2, 1, 3, 1, 1, 2, 1, 0, 1, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0 ] ]
);

TWOCOCYCLES[24].quandle[37] := rec(
  factors := [ 2, 2, 2 ], generators := 
[ [ 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 
      0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 
      0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 
      1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 
      1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 
      0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 
      1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 
      1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 
      1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 
      0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 
      1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 
      0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 
      1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 
      0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 
      1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 
      1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 
      1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 
      0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 
      1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 
      0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 
      0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], 
  [ 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 
      0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 
      1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 
      1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 
      0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 
      0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
      1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 
      1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 
      1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 
      1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 
      0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 
      1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 
      0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 
      0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 
      1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 
      0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 
      1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 
      1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 
      1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 
      1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 
      0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 
      1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 
      0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 
      0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], 
  [ 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 
      0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 
      0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 
      0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 
      1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 
      1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 
      0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 
      0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 
      1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 
      1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 
      0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 
      1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 
      0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 
      0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 
      1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 
      0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 
      0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 
      1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 
      1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 
      1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 
      0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 
      0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 
      0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 
      0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]
);

TWOCOCYCLES[24].quandle[38] := rec(
  factors := [ 2, 4, 4, 4 ], generators := 
[ [ 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 
      1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 
      0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 
      0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 
      1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 
      1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 
      0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 
      1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 
      1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 
      0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 
      0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 
      0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 
      0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 
      0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 
      0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 
      0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 
      0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 
      1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 
      1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 
      0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 
      0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 
      1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 
      1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 
      1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0 ], 
  [ 0, 3, 2, 1, 3, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 3, 0, 1, 1, 1, 3, 
      3, 0, 1, 2, 0, 3, 2, 1, 2, 2, 0, 2, 3, 1, 3, 0, 2, 2, 3, 2, 3, 1, 1, 
      1, 2, 1, 0, 3, 1, 2, 3, 0, 2, 0, 0, 0, 3, 0, 2, 2, 1, 3, 0, 1, 3, 1, 
      3, 3, 1, 2, 3, 0, 2, 1, 0, 3, 0, 0, 2, 0, 2, 3, 0, 2, 1, 1, 0, 3, 3, 
      3, 1, 3, 3, 0, 1, 2, 0, 3, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 
      0, 2, 1, 3, 0, 3, 2, 1, 3, 0, 1, 2, 2, 2, 1, 2, 1, 3, 0, 2, 1, 3, 3, 
      2, 2, 2, 3, 3, 1, 2, 3, 0, 2, 1, 0, 3, 0, 3, 2, 2, 3, 3, 2, 2, 3, 1, 
      3, 2, 3, 1, 2, 0, 2, 1, 0, 3, 1, 2, 3, 0, 1, 0, 2, 0, 3, 1, 2, 0, 1, 
      1, 3, 0, 1, 1, 0, 0, 0, 1, 0, 3, 1, 0, 1, 3, 0, 3, 2, 1, 3, 0, 1, 2, 
      3, 0, 0, 0, 2, 1, 2, 3, 1, 2, 1, 0, 0, 3, 3, 3, 3, 0, 1, 2, 0, 3, 2, 
      1, 3, 2, 0, 2, 2, 3, 0, 3, 0, 1, 0, 3, 2, 0, 0, 3, 2, 1, 0, 3, 1, 2, 
      3, 0, 0, 1, 3, 3, 2, 3, 2, 1, 1, 2, 1, 0, 0, 0, 3, 2, 1, 2, 3, 0, 2, 
      1, 0, 3, 0, 3, 3, 1, 0, 3, 2, 3, 3, 2, 0, 0, 0, 1, 3, 0, 3, 0, 1, 2, 
      0, 3, 2, 1, 3, 0, 3, 1, 0, 3, 1, 0, 0, 3, 0, 2, 3, 0, 2, 3, 0, 3, 2, 
      1, 3, 0, 1, 2, 1, 0, 3, 3, 2, 3, 3, 0, 0, 2, 3, 0, 0, 1, 3, 0, 1, 2, 
      3, 0, 2, 1, 0, 3, 3, 2, 3, 3, 1, 0, 0, 3, 0, 0, 0, 1, 3, 0, 2, 3, 2, 
      1, 0, 3, 1, 2, 3, 0, 3, 0, 1, 3, 3, 0, 2, 3, 3, 1, 2, 2, 2, 2, 1, 3, 
      2, 2, 3, 1, 3, 1, 2, 2, 0, 3, 2, 1, 3, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 
      0, 1, 1, 2, 0, 0, 2, 1, 1, 3, 0, 1, 2, 0, 3, 2, 1, 0, 2, 1, 1, 0, 2, 
      3, 3, 1, 1, 0, 2, 3, 3, 2, 0, 2, 1, 0, 3, 1, 2, 3, 0, 3, 1, 0, 0, 1, 
      3, 2, 2, 0, 0, 3, 1, 2, 2, 3, 1, 1, 2, 3, 0, 2, 1, 0, 3, 1, 3, 1, 3, 
      2, 2, 0, 0, 3, 1, 1, 3, 0, 0, 2, 2, 3, 0, 1, 2, 0, 3, 2, 1, 2, 0, 0, 
      2, 3, 3, 1, 1, 2, 0, 2, 0, 1, 1, 3, 3, 0, 3, 2, 1, 3, 0, 1, 2, 3, 3, 
      3, 3, 3, 3, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 1, 2, 3, 0, 2, 1, 0, 3, 2, 
      2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 3, 1, 2, 3, 0 ], 
  [ 0, 1, 1, 0, 2, 3, 3, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 3, 3, 3, 1, 3, 0, 3, 
      1, 0, 0, 1, 3, 2, 2, 3, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 3, 1, 1, 1, 
      0, 1, 0, 0, 1, 3, 2, 2, 3, 0, 0, 2, 3, 3, 3, 0, 1, 1, 2, 0, 2, 0, 3, 
      3, 1, 0, 1, 1, 0, 2, 3, 3, 2, 0, 2, 2, 1, 3, 1, 3, 0, 1, 0, 2, 2, 3, 
      2, 1, 1, 2, 3, 3, 2, 0, 1, 1, 0, 0, 3, 2, 3, 1, 1, 2, 0, 1, 0, 2, 1, 
      0, 2, 1, 1, 3, 2, 2, 3, 1, 0, 0, 1, 1, 0, 0, 3, 3, 1, 0, 0, 1, 2, 3, 
      2, 0, 0, 3, 1, 3, 2, 2, 3, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 
      1, 3, 1, 1, 2, 0, 2, 3, 3, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 3, 0, 0, 3, 
      3, 3, 3, 1, 3, 0, 0, 3, 1, 0, 3, 2, 2, 1, 0, 0, 1, 1, 0, 2, 3, 3, 2, 
      3, 1, 3, 0, 3, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 3, 2, 2, 
      3, 3, 3, 1, 0, 0, 2, 2, 1, 2, 2, 3, 0, 0, 1, 1, 3, 1, 0, 0, 1, 3, 2, 
      2, 3, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 3, 0, 3, 3, 0, 1, 1, 0, 2, 
      3, 3, 2, 2, 0, 0, 1, 1, 2, 3, 3, 0, 3, 0, 3, 1, 0, 1, 0, 2, 3, 3, 2, 
      0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 3, 0, 0, 1, 1, 0, 0, 3, 2, 1, 3, 2, 2, 
      3, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 3, 2, 
      2, 3, 1, 0, 0, 1, 3, 3, 0, 0, 0, 3, 2, 1, 1, 1, 2, 2, 3, 0, 1, 2, 2, 
      3, 3, 2, 0, 1, 1, 0, 3, 1, 3, 3, 0, 1, 0, 1, 3, 2, 2, 2, 2, 2, 1, 2, 
      2, 2, 3, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 3, 3, 2, 0, 3, 3, 3, 3, 3, 3, 
      2, 3, 3, 0, 3, 2, 3, 3, 3, 1, 0, 0, 1, 3, 2, 2, 3, 1, 0, 2, 2, 1, 2, 
      0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 3, 2, 2, 3, 0, 3, 1, 1, 1, 
      0, 3, 3, 1, 1, 0, 3, 3, 3, 0, 1, 0, 1, 1, 0, 2, 3, 3, 2, 2, 1, 2, 3, 
      3, 3, 1, 1, 3, 2, 2, 1, 1, 1, 3, 3, 2, 3, 3, 2, 0, 1, 1, 0, 3, 2, 0, 
      3, 0, 0, 2, 2, 3, 0, 3, 2, 2, 2, 0, 0, 3, 2, 2, 3, 1, 0, 0, 1, 1, 1, 
      1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 3, 2, 2, 3, 1, 0, 0, 1, 1, 
      3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 3, 3, 2, 0, 1, 1, 0 ], 
  [ 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 3, 2, 3, 2, 3, 1, 2, 3, 0, 3, 2, 0, 0, 
      1, 0, 0, 1, 0, 1, 1, 0, 3, 2, 1, 1, 3, 0, 1, 2, 3, 2, 3, 2, 3, 0, 0, 
      2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 3, 2, 1, 0, 1, 0, 2, 1, 0, 3, 0, 3, 
      1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 3, 0, 1, 0, 1, 2, 
      3, 3, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 3, 0, 1, 2, 2, 0, 2, 1, 0, 1, 
      0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 3, 0, 1, 0, 1, 0, 0, 0, 1, 2, 
      1, 0, 3, 3, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 3, 0, 3, 3, 3, 2, 1, 1, 0, 
      3, 0, 3, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 3, 1, 3, 2, 1, 
      2, 3, 2, 3, 0, 2, 2, 3, 1, 0, 1, 0, 0, 3, 1, 0, 1, 1, 0, 1, 0, 0, 1, 
      3, 1, 0, 0, 2, 2, 2, 1, 3, 3, 3, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 
      0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 3, 1, 1, 0, 0, 1, 0, 1, 
      1, 0, 2, 2, 3, 1, 3, 3, 3, 2, 2, 3, 2, 2, 2, 0, 3, 3, 0, 1, 1, 0, 1, 
      0, 0, 1, 0, 2, 3, 3, 3, 1, 3, 0, 1, 1, 2, 2, 0, 2, 3, 2, 1, 0, 0, 1, 
      0, 1, 1, 0, 0, 2, 3, 1, 3, 3, 1, 2, 1, 3, 2, 0, 2, 2, 0, 3, 0, 1, 1, 
      0, 1, 0, 0, 1, 0, 0, 3, 3, 3, 1, 3, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 
      1, 0, 1, 0, 0, 1, 3, 1, 2, 0, 0, 2, 2, 1, 3, 1, 2, 0, 3, 0, 1, 3, 1, 
      0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 1, 3, 1, 
      1, 1, 3, 1, 1, 3, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 
      2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 3, 1, 1, 3, 1, 
      3, 3, 1, 1, 1, 3, 3, 3, 1, 3, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 
      0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 3, 3, 1, 
      1, 1, 3, 3, 1, 3, 1, 3, 3, 3, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 
      0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 
      1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 
      2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0 ] ]
);

TWOCOCYCLES[24].quandle[39] := rec(
  factors := [ 2, 2, 2, 2, 2, 2 ], generators := 
[ [ 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 
      1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 
      1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 
      0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 
      1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 
      1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 
      0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 
      0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 
      0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 
      0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 
      0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 
      0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 
      1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 
      1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 
      0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0 ], 
  [ 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 
      0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 
      0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 
      0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 
      1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 
      1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 
      0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 
      0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 
      0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 
      0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 
      1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 
      1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 
      0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 
      0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 
      1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0 ], 
  [ 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
      1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 
      0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 
      1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 
      1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 
      0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 
      0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 
      1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 
      0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 
      0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 
      1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 
      1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 
      1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 
      0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0 ], 
  [ 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 
      0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 
      0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 
      0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 
      1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 
      0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 
      0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 
      0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 
      0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 
      0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 
      1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 
      1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
      0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 
      1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0 ], 
  [ 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 
      1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 
      0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 
      1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 
      0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 
      1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 
      0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 
      1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 
      0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 
      0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 
      1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 
      0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 
      1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 
      0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 
      1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0 ], 
  [ 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 
      0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 
      0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 
      0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 
      1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 
      0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 
      1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 
      0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 
      0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 
      0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 
      0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 
      1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 
      1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 
      1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0 ] ]
);

TWOCOCYCLES[24].quandle[40] := rec(
  factors := [ 4, 4 ], generators := [ [ 0, 0, 3, 3, 2, 2, 1, 1, 0, 0, 1, 2, 3, 1, 0, 3, 2, 1, 0, 2, 3, 0, 3, 3, 0, 0, 3, 3, 2, 2, 1, 1, 
      0, 0, 2, 1, 1, 3, 3, 0, 2, 1, 0, 2, 3, 0, 3, 3, 3, 3, 0, 0, 1, 1, 2, 2, 0, 3, 0, 0, 2, 1, 1, 3, 0, 3, 
      0, 2, 1, 2, 3, 3, 3, 3, 0, 0, 1, 1, 2, 2, 3, 0, 0, 0, 1, 2, 3, 1, 0, 3, 0, 2, 1, 2, 3, 3, 2, 2, 1, 1, 0, 0, 3, 3, 2, 0, 0, 1, 3, 3, 
      1, 0, 1, 0, 3, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 3, 3, 0, 2, 1, 0, 3, 3, 0, 1, 1, 0, 3, 1, 0, 1, 0, 0, 
      1, 1, 2, 2, 3, 3, 0, 0, 3, 2, 2, 0, 3, 2, 3, 3, 3, 2, 3, 1, 2, 3, 0, 0, 1, 1, 2, 2, 3, 3, 0, 0, 2, 3, 0, 2, 2, 3, 3, 3, 3, 2, 3, 1, 
      2, 3, 0, 0, 1, 0, 0, 0, 0, 1, 3, 1, 0, 0, 3, 3, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 3, 3, 0, 1, 0, 0, 1, 0, 
      1, 3, 0, 0, 3, 3, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 3, 3, 0, 0, 3, 2, 1, 3, 2, 3, 3, 3, 0, 0, 1, 1, 2, 2, 3, 2, 2, 0, 2, 3, 3, 3, 0, 0, 
      2, 3, 3, 1, 3, 2, 3, 3, 0, 0, 1, 1, 2, 2, 3, 2, 2, 0, 2, 3, 3, 3, 1, 2, 2, 0, 0, 3, 3, 3, 2, 2, 1, 1, 
      0, 0, 3, 3, 0, 3, 1, 3, 1, 2, 0, 0, 2, 1, 0, 2, 3, 0, 3, 3, 2, 2, 1, 1, 0, 0, 3, 3, 0, 3, 1, 3, 1, 2, 0, 0, 2, 0, 0, 3, 3, 3, 1, 2, 
      1, 1, 2, 2, 3, 3, 0, 0, 2, 1, 1, 3, 3, 0, 0, 0, 0, 2, 3, 0, 3, 3, 2, 1, 1, 1, 2, 2, 3, 3, 0, 0, 2, 1, 
      1, 3, 3, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 3, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 
      0, 0, 0, 0, 1, 1, 1, 3, 1, 1, 3, 3, 3, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 
      3, 3, 3, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 1, 3, 3, 
      0, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 1, 3, 3, 0, 0, 3, 3, 0, 0, 0, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0 ], 
  [ 0, 0, 3, 3, 3, 3, 0, 0, 2, 1, 3, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 3, 3, 3, 3, 0, 0, 1, 
      2, 0, 3, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 3, 3, 0, 0, 0, 0, 3, 3, 2, 1, 2, 1, 1, 1, 2, 3, 2, 2, 2, 3, 3, 0, 2, 1, 3, 3, 0, 0, 0, 
      0, 3, 3, 1, 2, 1, 2, 1, 1, 3, 2, 2, 2, 2, 3, 3, 0, 2, 1, 3, 3, 0, 0, 0, 0, 3, 3, 0, 1, 3, 3, 3, 0, 0, 
      3, 0, 0, 0, 1, 1, 2, 0, 3, 3, 3, 0, 0, 0, 0, 3, 3, 1, 0, 3, 3, 0, 3, 3, 0, 0, 0, 0, 1, 1, 2, 0, 3, 0, 0, 3, 3, 3, 3, 0, 0, 3, 3, 2, 
      3, 2, 1, 0, 3, 0, 0, 2, 3, 3, 0, 0, 3, 0, 0, 3, 3, 3, 3, 0, 0, 3, 3, 3, 2, 1, 2, 3, 0, 0, 0, 2, 3, 3, 
      0, 0, 3, 3, 2, 1, 2, 1, 1, 3, 0, 0, 0, 3, 3, 3, 3, 0, 0, 2, 2, 1, 2, 2, 3, 2, 1, 2, 3, 2, 1, 1, 1, 0, 3, 0, 0, 3, 3, 3, 3, 0, 0, 2, 
      2, 1, 2, 2, 3, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 3, 3, 0, 0, 0, 0, 3, 3, 2, 2, 3, 0, 0, 1, 2, 1, 1, 2, 0, 
      1, 1, 2, 1, 1, 3, 3, 0, 0, 0, 0, 3, 3, 2, 2, 3, 0, 0, 1, 2, 1, 3, 3, 0, 3, 3, 2, 0, 3, 3, 3, 0, 0, 0, 0, 3, 3, 0, 0, 1, 2, 2, 3, 0, 
      3, 3, 3, 3, 0, 2, 3, 3, 0, 3, 3, 0, 0, 0, 0, 3, 3, 0, 0, 1, 2, 2, 3, 0, 3, 2, 1, 3, 3, 0, 3, 0, 1, 0, 
      0, 3, 3, 3, 3, 0, 0, 0, 0, 3, 0, 0, 1, 0, 3, 1, 2, 3, 3, 3, 0, 1, 0, 0, 0, 3, 3, 3, 3, 0, 0, 0, 0, 3, 0, 0, 1, 0, 3, 2, 2, 2, 2, 2, 
      2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
      2, 0, 0, 2, 0, 2, 0, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 0, 0, 3, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
      1, 1, 1, 1, 1, 3, 3, 0, 0, 3, 1, 0, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 1, 0, 
      0, 0, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
      0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0 ] ]
);

TWOCOCYCLES[24].quandle[41] := rec(
  factors := [ 4, 8 ], generators := [ [ 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 3, 1, 0, 0, 3, 3, 3, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 
      0, 0, 0, 1, 1, 3, 0, 0, 3, 3, 3, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 3, 3, 
      3, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 3, 1, 3, 3, 3, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 3, 1, 0, 0, 2, 2, 
      3, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 3, 0, 0, 2, 2, 2, 3, 1, 1, 1, 0, 0, 2, 1, 1, 
      1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 3, 1, 2, 3, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 3, 3, 2, 2, 2, 1, 1, 1, 0, 
      0, 2, 1, 1, 3, 1, 0, 0, 3, 3, 0, 3, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 3, 0, 2, 1, 1, 1, 3, 0, 0, 3, 3, 
      3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 3, 0, 2, 1, 1, 0, 0, 3, 1, 0, 3, 3, 3, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 3, 0, 2, 1, 1, 0, 0, 
      1, 3, 3, 0, 3, 3, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 3, 0, 2, 1, 1, 1, 1, 2, 1, 1, 3, 0, 0, 1, 1, 1, 1, 
      0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 3, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 3, 1, 
      1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 3, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 
      2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
      1, 1, 0, 0, 0, 0, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 
      1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0 ], 
  [ 0, 4, 5, 5, 0, 4, 3, 3, 7, 0, 1, 5, 6, 0, 2, 1, 3, 2, 7, 3, 6, 0, 7, 6, 4, 0, 5, 5, 4, 0, 3, 3, 4, 
      3, 5, 1, 4, 2, 1, 2, 7, 6, 7, 3, 2, 4, 7, 6, 5, 5, 0, 4, 3, 3, 0, 4, 3, 3, 0, 3, 2, 5, 2, 4, 7, 2, 1, 1, 4, 2, 3, 6, 5, 5, 4, 0, 3, 
      3, 4, 0, 3, 3, 7, 4, 5, 2, 0, 6, 3, 6, 1, 1, 0, 6, 3, 6, 4, 0, 3, 3, 0, 4, 5, 5, 0, 2, 1, 2, 6, 5, 5, 
      1, 5, 4, 3, 7, 4, 6, 7, 6, 0, 4, 3, 3, 4, 0, 5, 5, 6, 4, 2, 1, 1, 2, 1, 5, 1, 0, 3, 7, 0, 2, 7, 6, 3, 3, 4, 0, 5, 5, 0, 4, 2, 5, 6, 
      4, 7, 7, 6, 1, 1, 4, 5, 5, 2, 0, 3, 6, 3, 3, 0, 4, 5, 5, 4, 0, 5, 2, 0, 2, 7, 7, 5, 2, 5, 0, 5, 5, 6, 
      4, 3, 6, 3, 1, 1, 2, 1, 4, 3, 7, 0, 4, 5, 5, 4, 0, 3, 3, 6, 1, 5, 1, 5, 3, 7, 6, 5, 7, 2, 1, 0, 5, 7, 3, 4, 0, 5, 5, 0, 4, 3, 3, 2, 
      5, 5, 1, 1, 7, 7, 6, 2, 5, 1, 3, 5, 5, 4, 5, 5, 5, 0, 4, 3, 3, 0, 4, 6, 5, 7, 7, 3, 5, 3, 6, 5, 2, 7, 
      5, 5, 5, 1, 0, 5, 5, 4, 0, 3, 3, 4, 0, 2, 1, 7, 7, 7, 1, 3, 6, 3, 6, 7, 3, 7, 1, 2, 1, 0, 4, 3, 3, 0, 4, 5, 5, 4, 7, 1, 5, 7, 5, 7, 
      6, 2, 7, 3, 7, 5, 3, 1, 2, 4, 0, 3, 3, 4, 0, 5, 5, 0, 3, 1, 5, 3, 1, 7, 6, 1, 1, 3, 2, 2, 5, 3, 5, 3, 
      3, 4, 0, 5, 5, 0, 4, 0, 7, 3, 3, 1, 3, 3, 6, 1, 1, 6, 7, 5, 2, 1, 7, 3, 3, 0, 4, 5, 5, 4, 0, 4, 3, 3, 3, 5, 7, 3, 6, 3, 3, 3, 3, 3, 
      3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 4, 5, 5, 6, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
      3, 4, 0, 5, 5, 2, 2, 3, 3, 4, 4, 0, 0, 4, 4, 0, 0, 4, 4, 0, 0, 4, 4, 0, 0, 5, 5, 0, 4, 3, 3, 1, 3, 0, 0, 4, 4, 0, 0, 4, 4, 0, 0, 4, 
      4, 0, 0, 4, 4, 5, 5, 4, 0, 3, 3, 5, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 3, 3, 0, 
      4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 1, 3, 3, 3, 4, 0, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 
      3, 0, 4, 5, 5, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 4, 0, 5, 5, 4, 0 ] ]
);

TWOCOCYCLES[24].quandle[42] := rec(
  factors := [ 4, 4 ], generators := [ [ 0, 3, 3, 0, 3, 2, 2, 3, 2, 1, 3, 0, 1, 3, 2, 2, 0, 0, 3, 1, 0, 3, 1, 2, 3, 0, 0, 3, 2, 3, 3, 2, 
      3, 2, 0, 1, 0, 2, 1, 1, 2, 0, 3, 3, 0, 1, 3, 2, 3, 0, 0, 3, 2, 3, 3, 2, 0, 1, 1, 0, 3, 3, 0, 2, 0, 2, 
      1, 1, 3, 0, 0, 3, 0, 3, 3, 0, 3, 2, 2, 3, 3, 0, 0, 3, 0, 0, 1, 3, 2, 2, 1, 3, 3, 2, 2, 3, 2, 2, 2, 0, 0, 3, 3, 0, 3, 3, 3, 1, 2, 3, 
      0, 3, 3, 3, 3, 1, 3, 2, 3, 0, 2, 2, 0, 2, 3, 0, 0, 3, 0, 0, 0, 2, 1, 2, 3, 2, 0, 2, 0, 0, 1, 2, 3, 2, 
      2, 2, 0, 2, 3, 0, 0, 3, 1, 1, 3, 1, 0, 1, 0, 3, 1, 3, 3, 3, 3, 0, 1, 0, 2, 2, 2, 0, 0, 3, 3, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 
      1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 3, 3, 0, 3, 2, 2, 3, 1, 0, 3, 2, 3, 1, 1, 3, 3, 1, 3, 1, 0, 2, 
      1, 3, 3, 0, 0, 3, 2, 3, 3, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 3, 0, 2, 3, 0, 0, 3, 2, 3, 3, 2, 3, 0, 3, 0, 3, 3, 3, 3, 1, 1, 
      3, 3, 3, 3, 0, 0, 0, 3, 3, 0, 3, 2, 2, 3, 3, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 
      0, 3, 3, 0, 0, 0, 2, 2, 1, 3, 0, 2, 3, 1, 3, 1, 2, 0, 3, 1, 2, 2, 0, 2, 3, 0, 0, 3, 1, 1, 1, 1, 3, 3, 0, 0, 2, 0, 0, 2, 3, 1, 2, 0, 
      2, 2, 0, 2, 3, 0, 0, 3, 2, 0, 2, 0, 1, 1, 2, 2, 3, 3, 1, 1, 3, 3, 0, 0, 0, 2, 2, 2, 0, 3, 3, 0, 3, 1, 
      1, 3, 3, 1, 2, 0, 3, 3, 0, 0, 3, 2, 3, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 3, 3, 0, 2, 2, 2, 0, 2, 2, 3, 3, 0, 3, 0, 3, 3, 2, 3, 2, 3, 0, 
      3, 0, 3, 0, 0, 3, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 3, 0, 0, 3, 2, 2, 0, 2, 
      1, 1, 2, 2, 0, 1, 0, 1, 0, 3, 0, 3, 2, 3, 2, 3, 0, 3, 3, 0, 2, 2, 2, 0, 1, 1, 3, 3, 2, 2, 2, 2, 3, 1, 3, 1, 2, 2, 2, 2, 2, 2, 2, 0, 
      0, 3, 3, 0, 0, 0, 2, 2, 3, 3, 3, 3, 2, 0, 2, 0, 3, 3, 3, 3, 2, 0, 2, 2, 3, 0, 0, 3, 3, 3, 3, 3, 1, 1, 
      1, 1, 3, 3, 3, 3, 1, 1, 1, 1, 2, 0, 2, 2, 3, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 3, 3, 0 ], 
  [ 0, 0, 0, 0, 0, 1, 1, 2, 0, 3, 3, 0, 2, 0, 2, 0, 3, 3, 3, 3, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 3, 
      0, 0, 3, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 3, 0, 0, 3, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 
      1, 1, 2, 0, 3, 3, 0, 3, 3, 3, 3, 2, 0, 2, 0, 1, 0, 0, 1, 3, 1, 1, 3, 0, 0, 0, 0, 3, 1, 0, 2, 2, 0, 3, 
      3, 1, 0, 3, 2, 1, 1, 2, 0, 1, 3, 3, 1, 0, 0, 0, 0, 3, 1, 0, 2, 3, 3, 2, 0, 3, 2, 1, 0, 0, 2, 1, 1, 1, 3, 3, 1, 0, 0, 0, 0, 2, 0, 1, 
      3, 3, 3, 2, 0, 3, 2, 1, 0, 1, 1, 2, 0, 3, 1, 1, 3, 0, 0, 0, 0, 2, 0, 1, 3, 2, 0, 3, 3, 1, 0, 3, 2, 0, 
      2, 1, 1, 3, 0, 0, 3, 1, 2, 2, 3, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 3, 2, 1, 0, 0, 1, 0, 3, 3, 0, 1, 2, 2, 3, 0, 0, 0, 0, 1, 0, 2, 1, 3, 
      2, 2, 1, 1, 0, 0, 1, 0, 3, 3, 0, 0, 1, 3, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 3, 1, 0, 1, 0, 0, 1, 3, 0, 0, 
      3, 0, 1, 3, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 3, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 3, 3, 3, 1, 1, 3, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 
      1, 3, 3, 0, 0, 3, 3, 0, 2, 1, 3, 3, 1, 0, 0, 0, 0, 2, 3, 2, 3, 1, 1, 2, 0, 0, 0, 3, 3, 3, 3, 0, 2, 1, 
      3, 3, 1, 0, 0, 0, 0, 2, 3, 2, 3, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 3, 3, 3, 1, 1, 3, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 3, 3, 0, 
      3, 0, 3, 2, 3, 2, 3, 3, 0, 3, 0, 0, 0, 0, 0, 3, 1, 1, 3, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 
      2, 0, 0, 0, 0, 1, 3, 3, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 3, 3, 1, 3, 3, 2, 2, 0, 3, 0, 3, 3, 2, 3, 
      2, 3, 0, 3, 0, 0, 0, 0, 0, 3, 1, 1, 3, 0, 0, 0, 0, 1, 3, 1, 3, 0, 0, 0, 0, 3, 1, 3, 1, 2, 1, 1, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 3, 0, 0, 0, 0, 3, 1, 3, 1, 1, 
      0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0 ] ]
);

